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Simplifying 0.25x + 0.4(75 + -1x) = 24 0.25x + (75 * 0.4 + -1x * 0.4) = 24 0.25x + (30 + -0.4x) = 24 Reorder the terms: 30 + 0.25x + -0.4x = 24 Combine like terms: 0.25x + -0.4x = -0.15x 30 + -0.15x = 24 Solving 30 + -0.15x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -0.15x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -0.15x = 24 + -30 -0.15x = 24 + -30 Combine like terms: 24 + -30 = -6 -0.15x = -6 Divide each side by '-0.15'. x = 40 Simplifying x = 40
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