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Simplifying 15(x + 1) = 10(x + 18) Reorder the terms: 15(1 + x) = 10(x + 18) (1 * 15 + x * 15) = 10(x + 18) (15 + 15x) = 10(x + 18) Reorder the terms: 15 + 15x = 10(18 + x) 15 + 15x = (18 * 10 + x * 10) 15 + 15x = (180 + 10x) Solving 15 + 15x = 180 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 15x + -10x = 180 + 10x + -10x Combine like terms: 15x + -10x = 5x 15 + 5x = 180 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + 5x = 180 + 0 15 + 5x = 180 Add '-15' to each side of the equation. 15 + -15 + 5x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 180 + -15 5x = 180 + -15 Combine like terms: 180 + -15 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33
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