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Simplifying 1 + -1(4 + -1x) = 2(x + 1) 1 + (4 * -1 + -1x * -1) = 2(x + 1) 1 + (-4 + 1x) = 2(x + 1) Combine like terms: 1 + -4 = -3 -3 + 1x = 2(x + 1) Reorder the terms: -3 + 1x = 2(1 + x) -3 + 1x = (1 * 2 + x * 2) -3 + 1x = (2 + 2x) Solving -3 + 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. -3 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x -3 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1x = 2 + 0 -3 + -1x = 2 Add '3' to each side of the equation. -3 + 3 + -1x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 2 + 3 -1x = 2 + 3 Combine like terms: 2 + 3 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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