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Simplifying 0.4(x) + 0.25(124 + -1x) = 38.44 0.4x + (124 * 0.25 + -1x * 0.25) = 38.44 0.4x + (31 + -0.25x) = 38.44 Reorder the terms: 31 + 0.4x + -0.25x = 38.44 Combine like terms: 0.4x + -0.25x = 0.15x 31 + 0.15x = 38.44 Solving 31 + 0.15x = 38.44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 0.15x = 38.44 + -31 Combine like terms: 31 + -31 = 0 0 + 0.15x = 38.44 + -31 0.15x = 38.44 + -31 Combine like terms: 38.44 + -31 = 7.44 0.15x = 7.44 Divide each side by '0.15'. x = 49.6 Simplifying x = 49.6
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