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