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Simplifying 0.4x + 0.25(61 + -1x) = 27 0.4x + (61 * 0.25 + -1x * 0.25) = 27 0.4x + (15.25 + -0.25x) = 27 Reorder the terms: 15.25 + 0.4x + -0.25x = 27 Combine like terms: 0.4x + -0.25x = 0.15x 15.25 + 0.15x = 27 Solving 15.25 + 0.15x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.25' to each side of the equation. 15.25 + -15.25 + 0.15x = 27 + -15.25 Combine like terms: 15.25 + -15.25 = 0.00 0.00 + 0.15x = 27 + -15.25 0.15x = 27 + -15.25 Combine like terms: 27 + -15.25 = 11.75 0.15x = 11.75 Divide each side by '0.15'. x = 78.33333333 Simplifying x = 78.33333333
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