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Simplifying 0.25(9 + -2x) = 0.125(3x + 4) (9 * 0.25 + -2x * 0.25) = 0.125(3x + 4) (2.25 + -0.5x) = 0.125(3x + 4) Reorder the terms: 2.25 + -0.5x = 0.125(4 + 3x) 2.25 + -0.5x = (4 * 0.125 + 3x * 0.125) 2.25 + -0.5x = (0.5 + 0.375x) Solving 2.25 + -0.5x = 0.5 + 0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375x' to each side of the equation. 2.25 + -0.5x + -0.375x = 0.5 + 0.375x + -0.375x Combine like terms: -0.5x + -0.375x = -0.875x 2.25 + -0.875x = 0.5 + 0.375x + -0.375x Combine like terms: 0.375x + -0.375x = 0.000 2.25 + -0.875x = 0.5 + 0.000 2.25 + -0.875x = 0.5 Add '-2.25' to each side of the equation. 2.25 + -2.25 + -0.875x = 0.5 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.875x = 0.5 + -2.25 -0.875x = 0.5 + -2.25 Combine like terms: 0.5 + -2.25 = -1.75 -0.875x = -1.75 Divide each side by '-0.875'. x = 2 Simplifying x = 2
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