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Simplifying 45(x + 1) = 55x Reorder the terms: 45(1 + x) = 55x (1 * 45 + x * 45) = 55x (45 + 45x) = 55x Solving 45 + 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. 45 + 45x + -55x = 55x + -55x Combine like terms: 45x + -55x = -10x 45 + -10x = 55x + -55x Combine like terms: 55x + -55x = 0 45 + -10x = 0 Add '-45' to each side of the equation. 45 + -45 + -10x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = 0 + -45 -10x = 0 + -45 Combine like terms: 0 + -45 = -45 -10x = -45 Divide each side by '-10'. x = 4.5 Simplifying x = 4.5
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