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Simplifying 0.4x + 0.25(149 + -1x) = 31 0.4x + (149 * 0.25 + -1x * 0.25) = 31 0.4x + (37.25 + -0.25x) = 31 Reorder the terms: 37.25 + 0.4x + -0.25x = 31 Combine like terms: 0.4x + -0.25x = 0.15x 37.25 + 0.15x = 31 Solving 37.25 + 0.15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.25' to each side of the equation. 37.25 + -37.25 + 0.15x = 31 + -37.25 Combine like terms: 37.25 + -37.25 = 0.00 0.00 + 0.15x = 31 + -37.25 0.15x = 31 + -37.25 Combine like terms: 31 + -37.25 = -6.25 0.15x = -6.25 Divide each side by '0.15'. x = -41.66666667 Simplifying x = -41.66666667
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