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Simplifying -4(x + -3) + 5(2x + -5) = 5(x + -4) + 8 Reorder the terms: -4(-3 + x) + 5(2x + -5) = 5(x + -4) + 8 (-3 * -4 + x * -4) + 5(2x + -5) = 5(x + -4) + 8 (12 + -4x) + 5(2x + -5) = 5(x + -4) + 8 Reorder the terms: 12 + -4x + 5(-5 + 2x) = 5(x + -4) + 8 12 + -4x + (-5 * 5 + 2x * 5) = 5(x + -4) + 8 12 + -4x + (-25 + 10x) = 5(x + -4) + 8 Reorder the terms: 12 + -25 + -4x + 10x = 5(x + -4) + 8 Combine like terms: 12 + -25 = -13 -13 + -4x + 10x = 5(x + -4) + 8 Combine like terms: -4x + 10x = 6x -13 + 6x = 5(x + -4) + 8 Reorder the terms: -13 + 6x = 5(-4 + x) + 8 -13 + 6x = (-4 * 5 + x * 5) + 8 -13 + 6x = (-20 + 5x) + 8 Reorder the terms: -13 + 6x = -20 + 8 + 5x Combine like terms: -20 + 8 = -12 -13 + 6x = -12 + 5x Solving -13 + 6x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -13 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 1x = -12 + 0 -13 + 1x = -12 Add '13' to each side of the equation. -13 + 13 + 1x = -12 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -12 + 13 1x = -12 + 13 Combine like terms: -12 + 13 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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