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Simplifying 3(x + -5) + -2(2 + -1x) = 3(x + 5) + 2(x + -7) Reorder the terms: 3(-5 + x) + -2(2 + -1x) = 3(x + 5) + 2(x + -7) (-5 * 3 + x * 3) + -2(2 + -1x) = 3(x + 5) + 2(x + -7) (-15 + 3x) + -2(2 + -1x) = 3(x + 5) + 2(x + -7) -15 + 3x + (2 * -2 + -1x * -2) = 3(x + 5) + 2(x + -7) -15 + 3x + (-4 + 2x) = 3(x + 5) + 2(x + -7) Reorder the terms: -15 + -4 + 3x + 2x = 3(x + 5) + 2(x + -7) Combine like terms: -15 + -4 = -19 -19 + 3x + 2x = 3(x + 5) + 2(x + -7) Combine like terms: 3x + 2x = 5x -19 + 5x = 3(x + 5) + 2(x + -7) Reorder the terms: -19 + 5x = 3(5 + x) + 2(x + -7) -19 + 5x = (5 * 3 + x * 3) + 2(x + -7) -19 + 5x = (15 + 3x) + 2(x + -7) Reorder the terms: -19 + 5x = 15 + 3x + 2(-7 + x) -19 + 5x = 15 + 3x + (-7 * 2 + x * 2) -19 + 5x = 15 + 3x + (-14 + 2x) Reorder the terms: -19 + 5x = 15 + -14 + 3x + 2x Combine like terms: 15 + -14 = 1 -19 + 5x = 1 + 3x + 2x Combine like terms: 3x + 2x = 5x -19 + 5x = 1 + 5x Add '-5x' to each side of the equation. -19 + 5x + -5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 0 = 1 + 5x + -5x -19 = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 = 1 + 0 -19 = 1 Solving -19 = 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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