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Simplifying 2(x + 4) = 4(1 + -2x) Reorder the terms: 2(4 + x) = 4(1 + -2x) (4 * 2 + x * 2) = 4(1 + -2x) (8 + 2x) = 4(1 + -2x) 8 + 2x = (1 * 4 + -2x * 4) 8 + 2x = (4 + -8x) Solving 8 + 2x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + 2x + 8x = 4 + -8x + 8x Combine like terms: 2x + 8x = 10x 8 + 10x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 10x = 4 + 0 8 + 10x = 4 Add '-8' to each side of the equation. 8 + -8 + 10x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 4 + -8 10x = 4 + -8 Combine like terms: 4 + -8 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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