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Simplifying -4x + 3(1 + -1x) = -5x + -1(1 + -1x) -4x + (1 * 3 + -1x * 3) = -5x + -1(1 + -1x) -4x + (3 + -3x) = -5x + -1(1 + -1x) Reorder the terms: 3 + -4x + -3x = -5x + -1(1 + -1x) Combine like terms: -4x + -3x = -7x 3 + -7x = -5x + -1(1 + -1x) 3 + -7x = -5x + (1 * -1 + -1x * -1) 3 + -7x = -5x + (-1 + 1x) Reorder the terms: 3 + -7x = -1 + -5x + 1x Combine like terms: -5x + 1x = -4x 3 + -7x = -1 + -4x Solving 3 + -7x = -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 + -7x + 4x = -1 + -4x + 4x Combine like terms: -7x + 4x = -3x 3 + -3x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -3x = -1 + 0 3 + -3x = -1 Add '-3' to each side of the equation. 3 + -3 + -3x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -1 + -3 -3x = -1 + -3 Combine like terms: -1 + -3 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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