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Simplifying 9(x + 5) = 2(x + 40) Reorder the terms: 9(5 + x) = 2(x + 40) (5 * 9 + x * 9) = 2(x + 40) (45 + 9x) = 2(x + 40) Reorder the terms: 45 + 9x = 2(40 + x) 45 + 9x = (40 * 2 + x * 2) 45 + 9x = (80 + 2x) Solving 45 + 9x = 80 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 9x + -2x = 80 + 2x + -2x Combine like terms: 9x + -2x = 7x 45 + 7x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 7x = 80 + 0 45 + 7x = 80 Add '-45' to each side of the equation. 45 + -45 + 7x = 80 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 80 + -45 7x = 80 + -45 Combine like terms: 80 + -45 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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