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Simplifying -2x + 1(1 + -1x) = -1x + 5(1 + -1x) -2x + (1 * 1 + -1x * 1) = -1x + 5(1 + -1x) -2x + (1 + -1x) = -1x + 5(1 + -1x) Reorder the terms: 1 + -2x + -1x = -1x + 5(1 + -1x) Combine like terms: -2x + -1x = -3x 1 + -3x = -1x + 5(1 + -1x) 1 + -3x = -1x + (1 * 5 + -1x * 5) 1 + -3x = -1x + (5 + -5x) Reorder the terms: 1 + -3x = 5 + -1x + -5x Combine like terms: -1x + -5x = -6x 1 + -3x = 5 + -6x Solving 1 + -3x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -3x + 6x = 5 + -6x + 6x Combine like terms: -3x + 6x = 3x 1 + 3x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 3x = 5 + 0 1 + 3x = 5 Add '-1' to each side of the equation. 1 + -1 + 3x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 5 + -1 3x = 5 + -1 Combine like terms: 5 + -1 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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