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