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Simplifying 4(x + 4) = 2x + 32 Reorder the terms: 4(4 + x) = 2x + 32 (4 * 4 + x * 4) = 2x + 32 (16 + 4x) = 2x + 32 Reorder the terms: 16 + 4x = 32 + 2x Solving 16 + 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. 16 + 4x + -2x = 32 + 2x + -2x Combine like terms: 4x + -2x = 2x 16 + 2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 2x = 32 + 0 16 + 2x = 32 Add '-16' to each side of the equation. 16 + -16 + 2x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 32 + -16 2x = 32 + -16 Combine like terms: 32 + -16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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