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Simplifying 4(1 + -1x) = -2(x + 1) (1 * 4 + -1x * 4) = -2(x + 1) (4 + -4x) = -2(x + 1) Reorder the terms: 4 + -4x = -2(1 + x) 4 + -4x = (1 * -2 + x * -2) 4 + -4x = (-2 + -2x) Solving 4 + -4x = -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. 4 + -4x + 2x = -2 + -2x + 2x Combine like terms: -4x + 2x = -2x 4 + -2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -2x = -2 + 0 4 + -2x = -2 Add '-4' to each side of the equation. 4 + -4 + -2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -2 + -4 -2x = -2 + -4 Combine like terms: -2 + -4 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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