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Simplifying 0.4x + 0.25(109 + -1x) = 29 0.4x + (109 * 0.25 + -1x * 0.25) = 29 0.4x + (27.25 + -0.25x) = 29 Reorder the terms: 27.25 + 0.4x + -0.25x = 29 Combine like terms: 0.4x + -0.25x = 0.15x 27.25 + 0.15x = 29 Solving 27.25 + 0.15x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.25' to each side of the equation. 27.25 + -27.25 + 0.15x = 29 + -27.25 Combine like terms: 27.25 + -27.25 = 0.00 0.00 + 0.15x = 29 + -27.25 0.15x = 29 + -27.25 Combine like terms: 29 + -27.25 = 1.75 0.15x = 1.75 Divide each side by '0.15'. x = 11.66666667 Simplifying x = 11.66666667
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