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Simplifying 0.4x + 0.25(112 + -1x) = 36.96 0.4x + (112 * 0.25 + -1x * 0.25) = 36.96 0.4x + (28 + -0.25x) = 36.96 Reorder the terms: 28 + 0.4x + -0.25x = 36.96 Combine like terms: 0.4x + -0.25x = 0.15x 28 + 0.15x = 36.96 Solving 28 + 0.15x = 36.96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 0.15x = 36.96 + -28 Combine like terms: 28 + -28 = 0 0 + 0.15x = 36.96 + -28 0.15x = 36.96 + -28 Combine like terms: 36.96 + -28 = 8.96 0.15x = 8.96 Divide each side by '0.15'. x = 59.73333333 Simplifying x = 59.73333333
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