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Simplifying 0.4x + 0.25(52 + -1x) = 31 0.4x + (52 * 0.25 + -1x * 0.25) = 31 0.4x + (13 + -0.25x) = 31 Reorder the terms: 13 + 0.4x + -0.25x = 31 Combine like terms: 0.4x + -0.25x = 0.15x 13 + 0.15x = 31 Solving 13 + 0.15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 0.15x = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 0.15x = 31 + -13 0.15x = 31 + -13 Combine like terms: 31 + -13 = 18 0.15x = 18 Divide each side by '0.15'. x = 120 Simplifying x = 120
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