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Simplifying 27 = 6(7x + 8) + 3(8 + x) Reorder the terms: 27 = 6(8 + 7x) + 3(8 + x) 27 = (8 * 6 + 7x * 6) + 3(8 + x) 27 = (48 + 42x) + 3(8 + x) 27 = 48 + 42x + (8 * 3 + x * 3) 27 = 48 + 42x + (24 + 3x) Reorder the terms: 27 = 48 + 24 + 42x + 3x Combine like terms: 48 + 24 = 72 27 = 72 + 42x + 3x Combine like terms: 42x + 3x = 45x 27 = 72 + 45x Solving 27 = 72 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 27 + -45x = 72 + 45x + -45x Combine like terms: 45x + -45x = 0 27 + -45x = 72 + 0 27 + -45x = 72 Add '-27' to each side of the equation. 27 + -27 + -45x = 72 + -27 Combine like terms: 27 + -27 = 0 0 + -45x = 72 + -27 -45x = 72 + -27 Combine like terms: 72 + -27 = 45 -45x = 45 Divide each side by '-45'. x = -1 Simplifying x = -1
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