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Simplifying (8x + -67) + (9x + -75) = 96 Reorder the terms: (-67 + 8x) + (9x + -75) = 96 Remove parenthesis around (-67 + 8x) -67 + 8x + (9x + -75) = 96 Reorder the terms: -67 + 8x + (-75 + 9x) = 96 Remove parenthesis around (-75 + 9x) -67 + 8x + -75 + 9x = 96 Reorder the terms: -67 + -75 + 8x + 9x = 96 Combine like terms: -67 + -75 = -142 -142 + 8x + 9x = 96 Combine like terms: 8x + 9x = 17x -142 + 17x = 96 Solving -142 + 17x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '142' to each side of the equation. -142 + 142 + 17x = 96 + 142 Combine like terms: -142 + 142 = 0 0 + 17x = 96 + 142 17x = 96 + 142 Combine like terms: 96 + 142 = 238 17x = 238 Divide each side by '17'. x = 14 Simplifying x = 14
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