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Simplifying 45(x + 40) = 55x Reorder the terms: 45(40 + x) = 55x (40 * 45 + x * 45) = 55x (1800 + 45x) = 55x Solving 1800 + 45x = 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 1800 + 45x + -55x = 55x + -55x Combine like terms: 45x + -55x = -10x 1800 + -10x = 55x + -55x Combine like terms: 55x + -55x = 0 1800 + -10x = 0 Add '-1800' to each side of the equation. 1800 + -1800 + -10x = 0 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -10x = 0 + -1800 -10x = 0 + -1800 Combine like terms: 0 + -1800 = -1800 -10x = -1800 Divide each side by '-10'. x = 180 Simplifying x = 180
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