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Simplifying 0.5(3x + -9) = 20(0.5x + -1) Reorder the terms: 0.5(-9 + 3x) = 20(0.5x + -1) (-9 * 0.5 + 3x * 0.5) = 20(0.5x + -1) (-4.5 + 1.5x) = 20(0.5x + -1) Reorder the terms: -4.5 + 1.5x = 20(-1 + 0.5x) -4.5 + 1.5x = (-1 * 20 + 0.5x * 20) -4.5 + 1.5x = (-20 + 10x) Solving -4.5 + 1.5x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4.5 + 1.5x + -10x = -20 + 10x + -10x Combine like terms: 1.5x + -10x = -8.5x -4.5 + -8.5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -4.5 + -8.5x = -20 + 0 -4.5 + -8.5x = -20 Add '4.5' to each side of the equation. -4.5 + 4.5 + -8.5x = -20 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -8.5x = -20 + 4.5 -8.5x = -20 + 4.5 Combine like terms: -20 + 4.5 = -15.5 -8.5x = -15.5 Divide each side by '-8.5'. x = 1.823529412 Simplifying x = 1.823529412
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