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Simplifying 55(x + 2.5) = 45x Reorder the terms: 55(2.5 + x) = 45x (2.5 * 55 + x * 55) = 45x (137.5 + 55x) = 45x Solving 137.5 + 55x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 137.5 + 55x + -45x = 45x + -45x Combine like terms: 55x + -45x = 10x 137.5 + 10x = 45x + -45x Combine like terms: 45x + -45x = 0 137.5 + 10x = 0 Add '-137.5' to each side of the equation. 137.5 + -137.5 + 10x = 0 + -137.5 Combine like terms: 137.5 + -137.5 = 0.0 0.0 + 10x = 0 + -137.5 10x = 0 + -137.5 Combine like terms: 0 + -137.5 = -137.5 10x = -137.5 Divide each side by '10'. x = -13.75 Simplifying x = -13.75
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