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Simplifying 0.4x + 0.25(58 + -1x) = 31 0.4x + (58 * 0.25 + -1x * 0.25) = 31 0.4x + (14.5 + -0.25x) = 31 Reorder the terms: 14.5 + 0.4x + -0.25x = 31 Combine like terms: 0.4x + -0.25x = 0.15x 14.5 + 0.15x = 31 Solving 14.5 + 0.15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + 0.15x = 31 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 0.15x = 31 + -14.5 0.15x = 31 + -14.5 Combine like terms: 31 + -14.5 = 16.5 0.15x = 16.5 Divide each side by '0.15'. x = 110 Simplifying x = 110
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