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Simplifying 2(3x + -2) + -1(x + -6) = -3(6 + -1x) + 2(x + 10) Reorder the terms: 2(-2 + 3x) + -1(x + -6) = -3(6 + -1x) + 2(x + 10) (-2 * 2 + 3x * 2) + -1(x + -6) = -3(6 + -1x) + 2(x + 10) (-4 + 6x) + -1(x + -6) = -3(6 + -1x) + 2(x + 10) Reorder the terms: -4 + 6x + -1(-6 + x) = -3(6 + -1x) + 2(x + 10) -4 + 6x + (-6 * -1 + x * -1) = -3(6 + -1x) + 2(x + 10) -4 + 6x + (6 + -1x) = -3(6 + -1x) + 2(x + 10) Reorder the terms: -4 + 6 + 6x + -1x = -3(6 + -1x) + 2(x + 10) Combine like terms: -4 + 6 = 2 2 + 6x + -1x = -3(6 + -1x) + 2(x + 10) Combine like terms: 6x + -1x = 5x 2 + 5x = -3(6 + -1x) + 2(x + 10) 2 + 5x = (6 * -3 + -1x * -3) + 2(x + 10) 2 + 5x = (-18 + 3x) + 2(x + 10) Reorder the terms: 2 + 5x = -18 + 3x + 2(10 + x) 2 + 5x = -18 + 3x + (10 * 2 + x * 2) 2 + 5x = -18 + 3x + (20 + 2x) Reorder the terms: 2 + 5x = -18 + 20 + 3x + 2x Combine like terms: -18 + 20 = 2 2 + 5x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 2 + 5x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 5x 5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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