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Simplifying 3(x + -5) + -1(2x + 5) = 5(2x + -3) + -1(x + 12) Reorder the terms: 3(-5 + x) + -1(2x + 5) = 5(2x + -3) + -1(x + 12) (-5 * 3 + x * 3) + -1(2x + 5) = 5(2x + -3) + -1(x + 12) (-15 + 3x) + -1(2x + 5) = 5(2x + -3) + -1(x + 12) Reorder the terms: -15 + 3x + -1(5 + 2x) = 5(2x + -3) + -1(x + 12) -15 + 3x + (5 * -1 + 2x * -1) = 5(2x + -3) + -1(x + 12) -15 + 3x + (-5 + -2x) = 5(2x + -3) + -1(x + 12) Reorder the terms: -15 + -5 + 3x + -2x = 5(2x + -3) + -1(x + 12) Combine like terms: -15 + -5 = -20 -20 + 3x + -2x = 5(2x + -3) + -1(x + 12) Combine like terms: 3x + -2x = 1x -20 + 1x = 5(2x + -3) + -1(x + 12) Reorder the terms: -20 + 1x = 5(-3 + 2x) + -1(x + 12) -20 + 1x = (-3 * 5 + 2x * 5) + -1(x + 12) -20 + 1x = (-15 + 10x) + -1(x + 12) Reorder the terms: -20 + 1x = -15 + 10x + -1(12 + x) -20 + 1x = -15 + 10x + (12 * -1 + x * -1) -20 + 1x = -15 + 10x + (-12 + -1x) Reorder the terms: -20 + 1x = -15 + -12 + 10x + -1x Combine like terms: -15 + -12 = -27 -20 + 1x = -27 + 10x + -1x Combine like terms: 10x + -1x = 9x -20 + 1x = -27 + 9x Solving -20 + 1x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 1x + -9x = -27 + 9x + -9x Combine like terms: 1x + -9x = -8x -20 + -8x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -8x = -27 + 0 -20 + -8x = -27 Add '20' to each side of the equation. -20 + 20 + -8x = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = -27 + 20 -8x = -27 + 20 Combine like terms: -27 + 20 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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