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Simplifying 45 + 10x = 5(x + 18 + -1) Reorder the terms: 45 + 10x = 5(18 + -1 + x) Combine like terms: 18 + -1 = 17 45 + 10x = 5(17 + x) 45 + 10x = (17 * 5 + x * 5) 45 + 10x = (85 + 5x) Solving 45 + 10x = 85 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 10x + -5x = 85 + 5x + -5x Combine like terms: 10x + -5x = 5x 45 + 5x = 85 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 5x = 85 + 0 45 + 5x = 85 Add '-45' to each side of the equation. 45 + -45 + 5x = 85 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 85 + -45 5x = 85 + -45 Combine like terms: 85 + -45 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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