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Simplifying 5(x + -4) + -3(x + -2) = 2(2x + -3) + -2x + 7 Reorder the terms: 5(-4 + x) + -3(x + -2) = 2(2x + -3) + -2x + 7 (-4 * 5 + x * 5) + -3(x + -2) = 2(2x + -3) + -2x + 7 (-20 + 5x) + -3(x + -2) = 2(2x + -3) + -2x + 7 Reorder the terms: -20 + 5x + -3(-2 + x) = 2(2x + -3) + -2x + 7 -20 + 5x + (-2 * -3 + x * -3) = 2(2x + -3) + -2x + 7 -20 + 5x + (6 + -3x) = 2(2x + -3) + -2x + 7 Reorder the terms: -20 + 6 + 5x + -3x = 2(2x + -3) + -2x + 7 Combine like terms: -20 + 6 = -14 -14 + 5x + -3x = 2(2x + -3) + -2x + 7 Combine like terms: 5x + -3x = 2x -14 + 2x = 2(2x + -3) + -2x + 7 Reorder the terms: -14 + 2x = 2(-3 + 2x) + -2x + 7 -14 + 2x = (-3 * 2 + 2x * 2) + -2x + 7 -14 + 2x = (-6 + 4x) + -2x + 7 Reorder the terms: -14 + 2x = -6 + 7 + 4x + -2x Combine like terms: -6 + 7 = 1 -14 + 2x = 1 + 4x + -2x Combine like terms: 4x + -2x = 2x -14 + 2x = 1 + 2x Add '-2x' to each side of the equation. -14 + 2x + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 0 = 1 + 2x + -2x -14 = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 = 1 + 0 -14 = 1 Solving -14 = 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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