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Simplifying 2(2x + 4) = 2(0.5 + -1x) Reorder the terms: 2(4 + 2x) = 2(0.5 + -1x) (4 * 2 + 2x * 2) = 2(0.5 + -1x) (8 + 4x) = 2(0.5 + -1x) 8 + 4x = (0.5 * 2 + -1x * 2) 8 + 4x = (1 + -2x) Solving 8 + 4x = 1 + -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 + 4x + 2x = 1 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = 1 + 0 8 + 6x = 1 Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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