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Simplifying 1.5(9x + -15) = 17 + -3(x + -12) Reorder the terms: 1.5(-15 + 9x) = 17 + -3(x + -12) (-15 * 1.5 + 9x * 1.5) = 17 + -3(x + -12) (-22.5 + 13.5x) = 17 + -3(x + -12) Reorder the terms: -22.5 + 13.5x = 17 + -3(-12 + x) -22.5 + 13.5x = 17 + (-12 * -3 + x * -3) -22.5 + 13.5x = 17 + (36 + -3x) Combine like terms: 17 + 36 = 53 -22.5 + 13.5x = 53 + -3x Solving -22.5 + 13.5x = 53 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -22.5 + 13.5x + 3x = 53 + -3x + 3x Combine like terms: 13.5x + 3x = 16.5x -22.5 + 16.5x = 53 + -3x + 3x Combine like terms: -3x + 3x = 0 -22.5 + 16.5x = 53 + 0 -22.5 + 16.5x = 53 Add '22.5' to each side of the equation. -22.5 + 22.5 + 16.5x = 53 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + 16.5x = 53 + 22.5 16.5x = 53 + 22.5 Combine like terms: 53 + 22.5 = 75.5 16.5x = 75.5 Divide each side by '16.5'. x = 4.575757576 Simplifying x = 4.575757576
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