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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 = 7 7 + -2x + 3x = 2(x + -1) + -1(x + -3) Combine like terms: -2x + 3x = 1x 7 + 1x = 2(x + -1) + -1(x + -3) Reorder the terms: 7 + 1x = 2(-1 + x) + -1(x + -3) 7 + 1x = (-1 * 2 + x * 2) + -1(x + -3) 7 + 1x = (-2 + 2x) + -1(x + -3) Reorder the terms: 7 + 1x = -2 + 2x + -1(-3 + x) 7 + 1x = -2 + 2x + (-3 * -1 + x * -1) 7 + 1x = -2 + 2x + (3 + -1x) Reorder the terms: 7 + 1x = -2 + 3 + 2x + -1x Combine like terms: -2 + 3 = 1 7 + 1x = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 1 + 1x Add '-1x' to each side of the equation. 7 + 1x + -1x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 0 = 1 + 1x + -1x 7 = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 7 = 1 + 0 7 = 1 Solving 7 = 1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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