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Simplifying -2(x + -4) + -1(3x + -1) = -5(x + -6) + -1(5 + -1x) Reorder the terms: -2(-4 + x) + -1(3x + -1) = -5(x + -6) + -1(5 + -1x) (-4 * -2 + x * -2) + -1(3x + -1) = -5(x + -6) + -1(5 + -1x) (8 + -2x) + -1(3x + -1) = -5(x + -6) + -1(5 + -1x) Reorder the terms: 8 + -2x + -1(-1 + 3x) = -5(x + -6) + -1(5 + -1x) 8 + -2x + (-1 * -1 + 3x * -1) = -5(x + -6) + -1(5 + -1x) 8 + -2x + (1 + -3x) = -5(x + -6) + -1(5 + -1x) Reorder the terms: 8 + 1 + -2x + -3x = -5(x + -6) + -1(5 + -1x) Combine like terms: 8 + 1 = 9 9 + -2x + -3x = -5(x + -6) + -1(5 + -1x) Combine like terms: -2x + -3x = -5x 9 + -5x = -5(x + -6) + -1(5 + -1x) Reorder the terms: 9 + -5x = -5(-6 + x) + -1(5 + -1x) 9 + -5x = (-6 * -5 + x * -5) + -1(5 + -1x) 9 + -5x = (30 + -5x) + -1(5 + -1x) 9 + -5x = 30 + -5x + (5 * -1 + -1x * -1) 9 + -5x = 30 + -5x + (-5 + 1x) Reorder the terms: 9 + -5x = 30 + -5 + -5x + 1x Combine like terms: 30 + -5 = 25 9 + -5x = 25 + -5x + 1x Combine like terms: -5x + 1x = -4x 9 + -5x = 25 + -4x Solving 9 + -5x = 25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + -5x + 4x = 25 + -4x + 4x Combine like terms: -5x + 4x = -1x 9 + -1x = 25 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + -1x = 25 + 0 9 + -1x = 25 Add '-9' to each side of the equation. 9 + -9 + -1x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 25 + -9 -1x = 25 + -9 Combine like terms: 25 + -9 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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