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Simplifying 4(2x + 1) = 2(2x + 36) Reorder the terms: 4(1 + 2x) = 2(2x + 36) (1 * 4 + 2x * 4) = 2(2x + 36) (4 + 8x) = 2(2x + 36) Reorder the terms: 4 + 8x = 2(36 + 2x) 4 + 8x = (36 * 2 + 2x * 2) 4 + 8x = (72 + 4x) Solving 4 + 8x = 72 + 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. 4 + 8x + -4x = 72 + 4x + -4x Combine like terms: 8x + -4x = 4x 4 + 4x = 72 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 4x = 72 + 0 4 + 4x = 72 Add '-4' to each side of the equation. 4 + -4 + 4x = 72 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 72 + -4 4x = 72 + -4 Combine like terms: 72 + -4 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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