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Simplifying 2(x + 4) = 2(8 + -1x) + -2x Reorder the terms: 2(4 + x) = 2(8 + -1x) + -2x (4 * 2 + x * 2) = 2(8 + -1x) + -2x (8 + 2x) = 2(8 + -1x) + -2x 8 + 2x = (8 * 2 + -1x * 2) + -2x 8 + 2x = (16 + -2x) + -2x Combine like terms: -2x + -2x = -4x 8 + 2x = 16 + -4x Solving 8 + 2x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 2x + 4x = 16 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = 16 + 0 8 + 6x = 16 Add '-8' to each side of the equation. 8 + -8 + 6x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 16 + -8 6x = 16 + -8 Combine like terms: 16 + -8 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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