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Simplifying 0.4 + 0.25(150 + -1x) = 34 0.4 + (150 * 0.25 + -1x * 0.25) = 34 0.4 + (37.5 + -0.25x) = 34 Combine like terms: 0.4 + 37.5 = 37.9 37.9 + -0.25x = 34 Solving 37.9 + -0.25x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.9' to each side of the equation. 37.9 + -37.9 + -0.25x = 34 + -37.9 Combine like terms: 37.9 + -37.9 = 0.0 0.0 + -0.25x = 34 + -37.9 -0.25x = 34 + -37.9 Combine like terms: 34 + -37.9 = -3.9 -0.25x = -3.9 Divide each side by '-0.25'. x = 15.6 Simplifying x = 15.6
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