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Simplifying 1.5(6 + -8x) = 9 + -1(5x + 6) (6 * 1.5 + -8x * 1.5) = 9 + -1(5x + 6) (9 + -12x) = 9 + -1(5x + 6) Reorder the terms: 9 + -12x = 9 + -1(6 + 5x) 9 + -12x = 9 + (6 * -1 + 5x * -1) 9 + -12x = 9 + (-6 + -5x) Combine like terms: 9 + -6 = 3 9 + -12x = 3 + -5x Solving 9 + -12x = 3 + -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. 9 + -12x + 5x = 3 + -5x + 5x Combine like terms: -12x + 5x = -7x 9 + -7x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + -7x = 3 + 0 9 + -7x = 3 Add '-9' to each side of the equation. 9 + -9 + -7x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 3 + -9 -7x = 3 + -9 Combine like terms: 3 + -9 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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