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Simplifying 4(x + 1) = 2(x + 16) Reorder the terms: 4(1 + x) = 2(x + 16) (1 * 4 + x * 4) = 2(x + 16) (4 + 4x) = 2(x + 16) Reorder the terms: 4 + 4x = 2(16 + x) 4 + 4x = (16 * 2 + x * 2) 4 + 4x = (32 + 2x) Solving 4 + 4x = 32 + 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. 4 + 4x + -2x = 32 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 32 + 0 4 + 2x = 32 Add '-4' to each side of the equation. 4 + -4 + 2x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 32 + -4 2x = 32 + -4 Combine like terms: 32 + -4 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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