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Simplifying 9x + 8(x + 9) = 7(x + 6) Reorder the terms: 9x + 8(9 + x) = 7(x + 6) 9x + (9 * 8 + x * 8) = 7(x + 6) 9x + (72 + 8x) = 7(x + 6) Reorder the terms: 72 + 9x + 8x = 7(x + 6) Combine like terms: 9x + 8x = 17x 72 + 17x = 7(x + 6) Reorder the terms: 72 + 17x = 7(6 + x) 72 + 17x = (6 * 7 + x * 7) 72 + 17x = (42 + 7x) Solving 72 + 17x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 72 + 17x + -7x = 42 + 7x + -7x Combine like terms: 17x + -7x = 10x 72 + 10x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 72 + 10x = 42 + 0 72 + 10x = 42 Add '-72' to each side of the equation. 72 + -72 + 10x = 42 + -72 Combine like terms: 72 + -72 = 0 0 + 10x = 42 + -72 10x = 42 + -72 Combine like terms: 42 + -72 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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