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Simplifying -5x + 3(1 + -1x) = -3x + 1(1 + -1x) -5x + (1 * 3 + -1x * 3) = -3x + 1(1 + -1x) -5x + (3 + -3x) = -3x + 1(1 + -1x) Reorder the terms: 3 + -5x + -3x = -3x + 1(1 + -1x) Combine like terms: -5x + -3x = -8x 3 + -8x = -3x + 1(1 + -1x) 3 + -8x = -3x + (1 * 1 + -1x * 1) 3 + -8x = -3x + (1 + -1x) Reorder the terms: 3 + -8x = 1 + -3x + -1x Combine like terms: -3x + -1x = -4x 3 + -8x = 1 + -4x Solving 3 + -8x = 1 + -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. 3 + -8x + 4x = 1 + -4x + 4x Combine like terms: -8x + 4x = -4x 3 + -4x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -4x = 1 + 0 3 + -4x = 1 Add '-3' to each side of the equation. 3 + -3 + -4x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 1 + -3 -4x = 1 + -3 Combine like terms: 1 + -3 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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