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Simplifying 3(x + -3) = 5(1.5 + -1x) Reorder the terms: 3(-3 + x) = 5(1.5 + -1x) (-3 * 3 + x * 3) = 5(1.5 + -1x) (-9 + 3x) = 5(1.5 + -1x) -9 + 3x = (1.5 * 5 + -1x * 5) -9 + 3x = (7.5 + -5x) Solving -9 + 3x = 7.5 + -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 + 3x + 5x = 7.5 + -5x + 5x Combine like terms: 3x + 5x = 8x -9 + 8x = 7.5 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 8x = 7.5 + 0 -9 + 8x = 7.5 Add '9' to each side of the equation. -9 + 9 + 8x = 7.5 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 7.5 + 9 8x = 7.5 + 9 Combine like terms: 7.5 + 9 = 16.5 8x = 16.5 Divide each side by '8'. x = 2.0625 Simplifying x = 2.0625
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