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Simplifying -1x + 5 = -2(x + -1) + -1(x + -2) Reorder the terms: 5 + -1x = -2(x + -1) + -1(x + -2) Reorder the terms: 5 + -1x = -2(-1 + x) + -1(x + -2) 5 + -1x = (-1 * -2 + x * -2) + -1(x + -2) 5 + -1x = (2 + -2x) + -1(x + -2) Reorder the terms: 5 + -1x = 2 + -2x + -1(-2 + x) 5 + -1x = 2 + -2x + (-2 * -1 + x * -1) 5 + -1x = 2 + -2x + (2 + -1x) Reorder the terms: 5 + -1x = 2 + 2 + -2x + -1x Combine like terms: 2 + 2 = 4 5 + -1x = 4 + -2x + -1x Combine like terms: -2x + -1x = -3x 5 + -1x = 4 + -3x Solving 5 + -1x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + -1x + 3x = 4 + -3x + 3x Combine like terms: -1x + 3x = 2x 5 + 2x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 2x = 4 + 0 5 + 2x = 4 Add '-5' to each side of the equation. 5 + -5 + 2x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 4 + -5 2x = 4 + -5 Combine like terms: 4 + -5 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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