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Simplifying 4(5 + x) = 2(x + 12) (5 * 4 + x * 4) = 2(x + 12) (20 + 4x) = 2(x + 12) Reorder the terms: 20 + 4x = 2(12 + x) 20 + 4x = (12 * 2 + x * 2) 20 + 4x = (24 + 2x) Solving 20 + 4x = 24 + 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. 20 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x 20 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 2x = 24 + 0 20 + 2x = 24 Add '-20' to each side of the equation. 20 + -20 + 2x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 24 + -20 2x = 24 + -20 Combine like terms: 24 + -20 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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