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Simplifying 3(x + -3) + -8 = 5(1.5 + x) Reorder the terms: 3(-3 + x) + -8 = 5(1.5 + x) (-3 * 3 + x * 3) + -8 = 5(1.5 + x) (-9 + 3x) + -8 = 5(1.5 + x) Reorder the terms: -9 + -8 + 3x = 5(1.5 + x) Combine like terms: -9 + -8 = -17 -17 + 3x = 5(1.5 + x) -17 + 3x = (1.5 * 5 + x * 5) -17 + 3x = (7.5 + 5x) Solving -17 + 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. -17 + 3x + -5x = 7.5 + 5x + -5x Combine like terms: 3x + -5x = -2x -17 + -2x = 7.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -2x = 7.5 + 0 -17 + -2x = 7.5 Add '17' to each side of the equation. -17 + 17 + -2x = 7.5 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 7.5 + 17 -2x = 7.5 + 17 Combine like terms: 7.5 + 17 = 24.5 -2x = 24.5 Divide each side by '-2'. x = -12.25 Simplifying x = -12.25
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