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Simplifying 3(1 + -2x) = 0.25(6x + 9) (1 * 3 + -2x * 3) = 0.25(6x + 9) (3 + -6x) = 0.25(6x + 9) Reorder the terms: 3 + -6x = 0.25(9 + 6x) 3 + -6x = (9 * 0.25 + 6x * 0.25) 3 + -6x = (2.25 + 1.5x) Solving 3 + -6x = 2.25 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 3 + -6x + -1.5x = 2.25 + 1.5x + -1.5x Combine like terms: -6x + -1.5x = -7.5x 3 + -7.5x = 2.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 3 + -7.5x = 2.25 + 0.0 3 + -7.5x = 2.25 Add '-3' to each side of the equation. 3 + -3 + -7.5x = 2.25 + -3 Combine like terms: 3 + -3 = 0 0 + -7.5x = 2.25 + -3 -7.5x = 2.25 + -3 Combine like terms: 2.25 + -3 = -0.75 -7.5x = -0.75 Divide each side by '-7.5'. x = 0.1 Simplifying x = 0.1
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