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Simplifying -5(x + 1) + 4(2x + -5) = 3(x + -4) + 10 Reorder the terms: -5(1 + x) + 4(2x + -5) = 3(x + -4) + 10 (1 * -5 + x * -5) + 4(2x + -5) = 3(x + -4) + 10 (-5 + -5x) + 4(2x + -5) = 3(x + -4) + 10 Reorder the terms: -5 + -5x + 4(-5 + 2x) = 3(x + -4) + 10 -5 + -5x + (-5 * 4 + 2x * 4) = 3(x + -4) + 10 -5 + -5x + (-20 + 8x) = 3(x + -4) + 10 Reorder the terms: -5 + -20 + -5x + 8x = 3(x + -4) + 10 Combine like terms: -5 + -20 = -25 -25 + -5x + 8x = 3(x + -4) + 10 Combine like terms: -5x + 8x = 3x -25 + 3x = 3(x + -4) + 10 Reorder the terms: -25 + 3x = 3(-4 + x) + 10 -25 + 3x = (-4 * 3 + x * 3) + 10 -25 + 3x = (-12 + 3x) + 10 Reorder the terms: -25 + 3x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -25 + 3x = -2 + 3x Add '-3x' to each side of the equation. -25 + 3x + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 0 = -2 + 3x + -3x -25 = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 = -2 + 0 -25 = -2 Solving -25 = -2 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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