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Simplifying 0.5(3x + -9) + 20 = 5(4x + -1) Reorder the terms: 0.5(-9 + 3x) + 20 = 5(4x + -1) (-9 * 0.5 + 3x * 0.5) + 20 = 5(4x + -1) (-4.5 + 1.5x) + 20 = 5(4x + -1) Reorder the terms: -4.5 + 20 + 1.5x = 5(4x + -1) Combine like terms: -4.5 + 20 = 15.5 15.5 + 1.5x = 5(4x + -1) Reorder the terms: 15.5 + 1.5x = 5(-1 + 4x) 15.5 + 1.5x = (-1 * 5 + 4x * 5) 15.5 + 1.5x = (-5 + 20x) Solving 15.5 + 1.5x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 15.5 + 1.5x + -20x = -5 + 20x + -20x Combine like terms: 1.5x + -20x = -18.5x 15.5 + -18.5x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 15.5 + -18.5x = -5 + 0 15.5 + -18.5x = -5 Add '-15.5' to each side of the equation. 15.5 + -15.5 + -18.5x = -5 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -18.5x = -5 + -15.5 -18.5x = -5 + -15.5 Combine like terms: -5 + -15.5 = -20.5 -18.5x = -20.5 Divide each side by '-18.5'. x = 1.108108108 Simplifying x = 1.108108108
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