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Simplifying 0.5(4x + 5) = 0.75(6x + -9) Reorder the terms: 0.5(5 + 4x) = 0.75(6x + -9) (5 * 0.5 + 4x * 0.5) = 0.75(6x + -9) (2.5 + 2x) = 0.75(6x + -9) Reorder the terms: 2.5 + 2x = 0.75(-9 + 6x) 2.5 + 2x = (-9 * 0.75 + 6x * 0.75) 2.5 + 2x = (-6.75 + 4.5x) Solving 2.5 + 2x = -6.75 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 2.5 + 2x + -4.5x = -6.75 + 4.5x + -4.5x Combine like terms: 2x + -4.5x = -2.5x 2.5 + -2.5x = -6.75 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 2.5 + -2.5x = -6.75 + 0.0 2.5 + -2.5x = -6.75 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2.5x = -6.75 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.5x = -6.75 + -2.5 -2.5x = -6.75 + -2.5 Combine like terms: -6.75 + -2.5 = -9.25 -2.5x = -9.25 Divide each side by '-2.5'. x = 3.7 Simplifying x = 3.7
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