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Simplifying 2.5(3x + -9) + -3(0.5x + 4.5) = 0 Reorder the terms: 2.5(-9 + 3x) + -3(0.5x + 4.5) = 0 (-9 * 2.5 + 3x * 2.5) + -3(0.5x + 4.5) = 0 (-22.5 + 7.5x) + -3(0.5x + 4.5) = 0 Reorder the terms: -22.5 + 7.5x + -3(4.5 + 0.5x) = 0 -22.5 + 7.5x + (4.5 * -3 + 0.5x * -3) = 0 -22.5 + 7.5x + (-13.5 + -1.5x) = 0 Reorder the terms: -22.5 + -13.5 + 7.5x + -1.5x = 0 Combine like terms: -22.5 + -13.5 = -36 -36 + 7.5x + -1.5x = 0 Combine like terms: 7.5x + -1.5x = 6x -36 + 6x = 0 Solving -36 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 0 + 36 6x = 0 + 36 Combine like terms: 0 + 36 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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