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Simplifying 4(x + 2) = 2(5 + x) Reorder the terms: 4(2 + x) = 2(5 + x) (2 * 4 + x * 4) = 2(5 + x) (8 + 4x) = 2(5 + x) 8 + 4x = (5 * 2 + x * 2) 8 + 4x = (10 + 2x) Solving 8 + 4x = 10 + 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 = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 10 + 0 8 + 2x = 10 Add '-8' to each side of the equation. 8 + -8 + 2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 10 + -8 2x = 10 + -8 Combine like terms: 10 + -8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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