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Simplifying 10(x + -1) = 5(2x + -2) Reorder the terms: 10(-1 + x) = 5(2x + -2) (-1 * 10 + x * 10) = 5(2x + -2) (-10 + 10x) = 5(2x + -2) Reorder the terms: -10 + 10x = 5(-2 + 2x) -10 + 10x = (-2 * 5 + 2x * 5) -10 + 10x = (-10 + 10x) Add '10' to each side of the equation. -10 + 10 + 10x = -10 + 10 + 10x Combine like terms: -10 + 10 = 0 0 + 10x = -10 + 10 + 10x 10x = -10 + 10 + 10x Combine like terms: -10 + 10 = 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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