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Simplifying 6(8 + -2x + -7x) + 9(5x + 7) = 12 Combine like terms: -2x + -7x = -9x 6(8 + -9x) + 9(5x + 7) = 12 (8 * 6 + -9x * 6) + 9(5x + 7) = 12 (48 + -54x) + 9(5x + 7) = 12 Reorder the terms: 48 + -54x + 9(7 + 5x) = 12 48 + -54x + (7 * 9 + 5x * 9) = 12 48 + -54x + (63 + 45x) = 12 Reorder the terms: 48 + 63 + -54x + 45x = 12 Combine like terms: 48 + 63 = 111 111 + -54x + 45x = 12 Combine like terms: -54x + 45x = -9x 111 + -9x = 12 Solving 111 + -9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-111' to each side of the equation. 111 + -111 + -9x = 12 + -111 Combine like terms: 111 + -111 = 0 0 + -9x = 12 + -111 -9x = 12 + -111 Combine like terms: 12 + -111 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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