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Simplifying 55x = 40(x + 0.25) Reorder the terms: 55x = 40(0.25 + x) 55x = (0.25 * 40 + x * 40) 55x = (10 + 40x) Solving 55x = 10 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 55x + -40x = 10 + 40x + -40x Combine like terms: 55x + -40x = 15x 15x = 10 + 40x + -40x Combine like terms: 40x + -40x = 0 15x = 10 + 0 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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