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Simplifying 12x + -1(2x + 18) = 2(5x + -9) Reorder the terms: 12x + -1(18 + 2x) = 2(5x + -9) 12x + (18 * -1 + 2x * -1) = 2(5x + -9) 12x + (-18 + -2x) = 2(5x + -9) Reorder the terms: -18 + 12x + -2x = 2(5x + -9) Combine like terms: 12x + -2x = 10x -18 + 10x = 2(5x + -9) Reorder the terms: -18 + 10x = 2(-9 + 5x) -18 + 10x = (-9 * 2 + 5x * 2) -18 + 10x = (-18 + 10x) Add '18' to each side of the equation. -18 + 18 + 10x = -18 + 18 + 10x Combine like terms: -18 + 18 = 0 0 + 10x = -18 + 18 + 10x 10x = -18 + 18 + 10x Combine like terms: -18 + 18 = 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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