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Simplifying 39 = 0.5(17x + 6 + -7x + 2) Reorder the terms: 39 = 0.5(6 + 2 + 17x + -7x) Combine like terms: 6 + 2 = 8 39 = 0.5(8 + 17x + -7x) Combine like terms: 17x + -7x = 10x 39 = 0.5(8 + 10x) 39 = (8 * 0.5 + 10x * 0.5) 39 = (4 + 5x) Solving 39 = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 39 + -5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -5x = 4 + 0 39 + -5x = 4 Add '-39' to each side of the equation. 39 + -39 + -5x = 4 + -39 Combine like terms: 39 + -39 = 0 0 + -5x = 4 + -39 -5x = 4 + -39 Combine like terms: 4 + -39 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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