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Simplifying 1.5(10x + -9) = 5x + 8 Reorder the terms: 1.5(-9 + 10x) = 5x + 8 (-9 * 1.5 + 10x * 1.5) = 5x + 8 (-13.5 + 15x) = 5x + 8 Reorder the terms: -13.5 + 15x = 8 + 5x Solving -13.5 + 15x = 8 + 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. -13.5 + 15x + -5x = 8 + 5x + -5x Combine like terms: 15x + -5x = 10x -13.5 + 10x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -13.5 + 10x = 8 + 0 -13.5 + 10x = 8 Add '13.5' to each side of the equation. -13.5 + 13.5 + 10x = 8 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 10x = 8 + 13.5 10x = 8 + 13.5 Combine like terms: 8 + 13.5 = 21.5 10x = 21.5 Divide each side by '10'. x = 2.15 Simplifying x = 2.15
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