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Simplifying 4(x + 2) = 2x + 32 Reorder the terms: 4(2 + x) = 2x + 32 (2 * 4 + x * 4) = 2x + 32 (8 + 4x) = 2x + 32 Reorder the terms: 8 + 4x = 32 + 2x Solving 8 + 4x = 32 + 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 = 32 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 32 + 0 8 + 2x = 32 Add '-8' to each side of the equation. 8 + -8 + 2x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 32 + -8 2x = 32 + -8 Combine like terms: 32 + -8 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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