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Simplifying 39 = 0.5(17x + 6) + -1(7x + -2) Reorder the terms: 39 = 0.5(6 + 17x) + -1(7x + -2) 39 = (6 * 0.5 + 17x * 0.5) + -1(7x + -2) 39 = (3 + 8.5x) + -1(7x + -2) Reorder the terms: 39 = 3 + 8.5x + -1(-2 + 7x) 39 = 3 + 8.5x + (-2 * -1 + 7x * -1) 39 = 3 + 8.5x + (2 + -7x) Reorder the terms: 39 = 3 + 2 + 8.5x + -7x Combine like terms: 3 + 2 = 5 39 = 5 + 8.5x + -7x Combine like terms: 8.5x + -7x = 1.5x 39 = 5 + 1.5x Solving 39 = 5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 39 + -1.5x = 5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 39 + -1.5x = 5 + 0.0 39 + -1.5x = 5 Add '-39' to each side of the equation. 39 + -39 + -1.5x = 5 + -39 Combine like terms: 39 + -39 = 0 0 + -1.5x = 5 + -39 -1.5x = 5 + -39 Combine like terms: 5 + -39 = -34 -1.5x = -34 Divide each side by '-1.5'. x = 22.66666667 Simplifying x = 22.66666667
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