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Simplifying 2(5x + 8) + -3(x + -9) = 9(x + 1) Reorder the terms: 2(8 + 5x) + -3(x + -9) = 9(x + 1) (8 * 2 + 5x * 2) + -3(x + -9) = 9(x + 1) (16 + 10x) + -3(x + -9) = 9(x + 1) Reorder the terms: 16 + 10x + -3(-9 + x) = 9(x + 1) 16 + 10x + (-9 * -3 + x * -3) = 9(x + 1) 16 + 10x + (27 + -3x) = 9(x + 1) Reorder the terms: 16 + 27 + 10x + -3x = 9(x + 1) Combine like terms: 16 + 27 = 43 43 + 10x + -3x = 9(x + 1) Combine like terms: 10x + -3x = 7x 43 + 7x = 9(x + 1) Reorder the terms: 43 + 7x = 9(1 + x) 43 + 7x = (1 * 9 + x * 9) 43 + 7x = (9 + 9x) Solving 43 + 7x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 43 + 7x + -9x = 9 + 9x + -9x Combine like terms: 7x + -9x = -2x 43 + -2x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + -2x = 9 + 0 43 + -2x = 9 Add '-43' to each side of the equation. 43 + -43 + -2x = 9 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = 9 + -43 -2x = 9 + -43 Combine like terms: 9 + -43 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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