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Simplifying -10x + 17 = -2(5x + -5) + 7 Reorder the terms: 17 + -10x = -2(5x + -5) + 7 Reorder the terms: 17 + -10x = -2(-5 + 5x) + 7 17 + -10x = (-5 * -2 + 5x * -2) + 7 17 + -10x = (10 + -10x) + 7 Reorder the terms: 17 + -10x = 10 + 7 + -10x Combine like terms: 10 + 7 = 17 17 + -10x = 17 + -10x Add '-17' to each side of the equation. 17 + -17 + -10x = 17 + -17 + -10x Combine like terms: 17 + -17 = 0 0 + -10x = 17 + -17 + -10x -10x = 17 + -17 + -10x Combine like terms: 17 + -17 = 0 -10x = 0 + -10x -10x = -10x Add '10x' to each side of the equation. -10x + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 0 = -10x + 10x Combine like terms: -10x + 10x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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