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Simplifying 4(x + 1) = -2(4 + -1x) Reorder the terms: 4(1 + x) = -2(4 + -1x) (1 * 4 + x * 4) = -2(4 + -1x) (4 + 4x) = -2(4 + -1x) 4 + 4x = (4 * -2 + -1x * -2) 4 + 4x = (-8 + 2x) Solving 4 + 4x = -8 + 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 = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = -8 + 0 4 + 2x = -8 Add '-4' to each side of the equation. 4 + -4 + 2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -8 + -4 2x = -8 + -4 Combine like terms: -8 + -4 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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