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Simplifying 0.25(3 + -2x) = 1.5 (3 * 0.25 + -2x * 0.25) = 1.5 (0.75 + -0.5x) = 1.5 Solving 0.75 + -0.5x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.5x = 1.5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5x = 1.5 + -0.75 -0.5x = 1.5 + -0.75 Combine like terms: 1.5 + -0.75 = 0.75 -0.5x = 0.75 Divide each side by '-0.5'. x = -1.5 Simplifying x = -1.5
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