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Simplifying -1(-2x + -1) + -2x = 4(1 + -1x) Reorder the terms: -1(-1 + -2x) + -2x = 4(1 + -1x) (-1 * -1 + -2x * -1) + -2x = 4(1 + -1x) (1 + 2x) + -2x = 4(1 + -1x) Combine like terms: 2x + -2x = 0 1 + 0 = 4(1 + -1x) 1 = 4(1 + -1x) 1 = (1 * 4 + -1x * 4) 1 = (4 + -4x) Solving 1 = 4 + -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. 1 + 4x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 4x = 4 + 0 1 + 4x = 4 Add '-1' to each side of the equation. 1 + -1 + 4x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 4 + -1 4x = 4 + -1 Combine like terms: 4 + -1 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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