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Simplifying 2x + -1(9 + -5x) = 2(8 + x) 2x + (9 * -1 + -5x * -1) = 2(8 + x) 2x + (-9 + 5x) = 2(8 + x) Reorder the terms: -9 + 2x + 5x = 2(8 + x) Combine like terms: 2x + 5x = 7x -9 + 7x = 2(8 + x) -9 + 7x = (8 * 2 + x * 2) -9 + 7x = (16 + 2x) Solving -9 + 7x = 16 + 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. -9 + 7x + -2x = 16 + 2x + -2x Combine like terms: 7x + -2x = 5x -9 + 5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 5x = 16 + 0 -9 + 5x = 16 Add '9' to each side of the equation. -9 + 9 + 5x = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 16 + 9 5x = 16 + 9 Combine like terms: 16 + 9 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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