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Simplifying 5(x + 4) = 2(16 + 2x) Reorder the terms: 5(4 + x) = 2(16 + 2x) (4 * 5 + x * 5) = 2(16 + 2x) (20 + 5x) = 2(16 + 2x) 20 + 5x = (16 * 2 + 2x * 2) 20 + 5x = (32 + 4x) Solving 20 + 5x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 5x + -4x = 32 + 4x + -4x Combine like terms: 5x + -4x = 1x 20 + 1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 1x = 32 + 0 20 + 1x = 32 Add '-20' to each side of the equation. 20 + -20 + 1x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 32 + -20 1x = 32 + -20 Combine like terms: 32 + -20 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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