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