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