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Simplifying 9x + -2(x + 5) = 5(x + 6) Reorder the terms: 9x + -2(5 + x) = 5(x + 6) 9x + (5 * -2 + x * -2) = 5(x + 6) 9x + (-10 + -2x) = 5(x + 6) Reorder the terms: -10 + 9x + -2x = 5(x + 6) Combine like terms: 9x + -2x = 7x -10 + 7x = 5(x + 6) Reorder the terms: -10 + 7x = 5(6 + x) -10 + 7x = (6 * 5 + x * 5) -10 + 7x = (30 + 5x) Solving -10 + 7x = 30 + 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. -10 + 7x + -5x = 30 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = 30 + 0 -10 + 2x = 30 Add '10' to each side of the equation. -10 + 10 + 2x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 30 + 10 2x = 30 + 10 Combine like terms: 30 + 10 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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