Yes, 3x and x are like terms because they have the same variable raised to the same power.
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When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
The expression "negative x plus 3x" can be simplified by combining like terms. Negative x can be written as -1x, so the expression becomes -1x + 3x. When you combine -1x and 3x, you get 2x. Therefore, the simplified expression is 2x.
Multiply each term of the second expression by each of the terms in the first expression and add them together, collecting like terms together: (x - 6)(3x² + 10x - 1) = x(3x² + 10x - 1) + (-6)(3x² + 10x - 1) = (3x³ + 10x² - x) + (-18x² - 60x + 6) = 3x³ + 10x² - 18x² - x - 60x + 6 = 3x² + (10 - 18)x² + (-1 - 60)x + 6 = 3x² - 8x² - 61x + 6
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The expression 10x + 7 + 3x can be simplified by combining like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are 10x and 3x, as they both have the variable x raised to the power of 1. Combining these like terms gives us 13x. Therefore, the simplified expression is 13x + 7.