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Simplifying 0.4x + 0.25(116 + -1x) = 34 0.4x + (116 * 0.25 + -1x * 0.25) = 34 0.4x + (29 + -0.25x) = 34 Reorder the terms: 29 + 0.4x + -0.25x = 34 Combine like terms: 0.4x + -0.25x = 0.15x 29 + 0.15x = 34 Solving 29 + 0.15x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 0.15x = 34 + -29 Combine like terms: 29 + -29 = 0 0 + 0.15x = 34 + -29 0.15x = 34 + -29 Combine like terms: 34 + -29 = 5 0.15x = 5 Divide each side by '0.15'. x = 33.33333333 Simplifying x = 33.33333333
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