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Simplifying 0.75(18x + 15) = 0.25(4x + 12) Reorder the terms: 0.75(15 + 18x) = 0.25(4x + 12) (15 * 0.75 + 18x * 0.75) = 0.25(4x + 12) (11.25 + 13.5x) = 0.25(4x + 12) Reorder the terms: 11.25 + 13.5x = 0.25(12 + 4x) 11.25 + 13.5x = (12 * 0.25 + 4x * 0.25) 11.25 + 13.5x = (3 + 1x) Solving 11.25 + 13.5x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11.25 + 13.5x + -1x = 3 + 1x + -1x Combine like terms: 13.5x + -1x = 12.5x 11.25 + 12.5x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 11.25 + 12.5x = 3 + 0 11.25 + 12.5x = 3 Add '-11.25' to each side of the equation. 11.25 + -11.25 + 12.5x = 3 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + 12.5x = 3 + -11.25 12.5x = 3 + -11.25 Combine like terms: 3 + -11.25 = -8.25 12.5x = -8.25 Divide each side by '12.5'. x = -0.66 Simplifying x = -0.66
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