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Simplifying 39 = 4(2x + 2) + -5(1 + -2x) Reorder the terms: 39 = 4(2 + 2x) + -5(1 + -2x) 39 = (2 * 4 + 2x * 4) + -5(1 + -2x) 39 = (8 + 8x) + -5(1 + -2x) 39 = 8 + 8x + (1 * -5 + -2x * -5) 39 = 8 + 8x + (-5 + 10x) Reorder the terms: 39 = 8 + -5 + 8x + 10x Combine like terms: 8 + -5 = 3 39 = 3 + 8x + 10x Combine like terms: 8x + 10x = 18x 39 = 3 + 18x Solving 39 = 3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 39 + -18x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 39 + -18x = 3 + 0 39 + -18x = 3 Add '-39' to each side of the equation. 39 + -39 + -18x = 3 + -39 Combine like terms: 39 + -39 = 0 0 + -18x = 3 + -39 -18x = 3 + -39 Combine like terms: 3 + -39 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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