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Simplifying -1(3 + -1x) + -4x + 9 = -2(2x + -5) + 8 (3 * -1 + -1x * -1) + -4x + 9 = -2(2x + -5) + 8 (-3 + 1x) + -4x + 9 = -2(2x + -5) + 8 Reorder the terms: -3 + 9 + 1x + -4x = -2(2x + -5) + 8 Combine like terms: -3 + 9 = 6 6 + 1x + -4x = -2(2x + -5) + 8 Combine like terms: 1x + -4x = -3x 6 + -3x = -2(2x + -5) + 8 Reorder the terms: 6 + -3x = -2(-5 + 2x) + 8 6 + -3x = (-5 * -2 + 2x * -2) + 8 6 + -3x = (10 + -4x) + 8 Reorder the terms: 6 + -3x = 10 + 8 + -4x Combine like terms: 10 + 8 = 18 6 + -3x = 18 + -4x Solving 6 + -3x = 18 + -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. 6 + -3x + 4x = 18 + -4x + 4x Combine like terms: -3x + 4x = 1x 6 + 1x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 1x = 18 + 0 6 + 1x = 18 Add '-6' to each side of the equation. 6 + -6 + 1x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 18 + -6 1x = 18 + -6 Combine like terms: 18 + -6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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