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Simplifying 7(x + 5) = 2(x + 40) Reorder the terms: 7(5 + x) = 2(x + 40) (5 * 7 + x * 7) = 2(x + 40) (35 + 7x) = 2(x + 40) Reorder the terms: 35 + 7x = 2(40 + x) 35 + 7x = (40 * 2 + x * 2) 35 + 7x = (80 + 2x) Solving 35 + 7x = 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. 35 + 7x + -2x = 80 + 2x + -2x Combine like terms: 7x + -2x = 5x 35 + 5x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 5x = 80 + 0 35 + 5x = 80 Add '-35' to each side of the equation. 35 + -35 + 5x = 80 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 80 + -35 5x = 80 + -35 Combine like terms: 80 + -35 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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