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