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Simplifying 4(x + 2) = 16 + 2(x + 1) Reorder the terms: 4(2 + x) = 16 + 2(x + 1) (2 * 4 + x * 4) = 16 + 2(x + 1) (8 + 4x) = 16 + 2(x + 1) Reorder the terms: 8 + 4x = 16 + 2(1 + x) 8 + 4x = 16 + (1 * 2 + x * 2) 8 + 4x = 16 + (2 + 2x) Combine like terms: 16 + 2 = 18 8 + 4x = 18 + 2x Solving 8 + 4x = 18 + 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 = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 18 + 0 8 + 2x = 18 Add '-8' to each side of the equation. 8 + -8 + 2x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 18 + -8 2x = 18 + -8 Combine like terms: 18 + -8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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