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Simplifying 0.5(8x + -20) = 0.75(12x + 32) Reorder the terms: 0.5(-20 + 8x) = 0.75(12x + 32) (-20 * 0.5 + 8x * 0.5) = 0.75(12x + 32) (-10 + 4x) = 0.75(12x + 32) Reorder the terms: -10 + 4x = 0.75(32 + 12x) -10 + 4x = (32 * 0.75 + 12x * 0.75) -10 + 4x = (24 + 9x) Solving -10 + 4x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 4x + -9x = 24 + 9x + -9x Combine like terms: 4x + -9x = -5x -10 + -5x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -5x = 24 + 0 -10 + -5x = 24 Add '10' to each side of the equation. -10 + 10 + -5x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 24 + 10 -5x = 24 + 10 Combine like terms: 24 + 10 = 34 -5x = 34 Divide each side by '-5'. x = -6.8 Simplifying x = -6.8
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