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Simplifying 2(2x + 4) = x + 2 Reorder the terms: 2(4 + 2x) = x + 2 (4 * 2 + 2x * 2) = x + 2 (8 + 4x) = x + 2 Reorder the terms: 8 + 4x = 2 + x Solving 8 + 4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 4x + -1x = 2 + x + -1x Combine like terms: 4x + -1x = 3x 8 + 3x = 2 + x + -1x Combine like terms: x + -1x = 0 8 + 3x = 2 + 0 8 + 3x = 2 Add '-8' to each side of the equation. 8 + -8 + 3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 2 + -8 3x = 2 + -8 Combine like terms: 2 + -8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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