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Simplifying 2(2x + 8) = 3x + 32 Reorder the terms: 2(8 + 2x) = 3x + 32 (8 * 2 + 2x * 2) = 3x + 32 (16 + 4x) = 3x + 32 Reorder the terms: 16 + 4x = 32 + 3x Solving 16 + 4x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 4x + -3x = 32 + 3x + -3x Combine like terms: 4x + -3x = 1x 16 + 1x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 1x = 32 + 0 16 + 1x = 32 Add '-16' to each side of the equation. 16 + -16 + 1x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 32 + -16 1x = 32 + -16 Combine like terms: 32 + -16 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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