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Simplifying 4 + -1(x + -5) = 2(1 + -1x) Reorder the terms: 4 + -1(-5 + x) = 2(1 + -1x) 4 + (-5 * -1 + x * -1) = 2(1 + -1x) 4 + (5 + -1x) = 2(1 + -1x) Combine like terms: 4 + 5 = 9 9 + -1x = 2(1 + -1x) 9 + -1x = (1 * 2 + -1x * 2) 9 + -1x = (2 + -2x) Solving 9 + -1x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + -1x + 2x = 2 + -2x + 2x Combine like terms: -1x + 2x = 1x 9 + 1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 1x = 2 + 0 9 + 1x = 2 Add '-9' to each side of the equation. 9 + -9 + 1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 2 + -9 1x = 2 + -9 Combine like terms: 2 + -9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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