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Simplifying 76 + -1(3x + 9) = 3(x + 6) + 6 Reorder the terms: 76 + -1(9 + 3x) = 3(x + 6) + 6 76 + (9 * -1 + 3x * -1) = 3(x + 6) + 6 76 + (-9 + -3x) = 3(x + 6) + 6 Combine like terms: 76 + -9 = 67 67 + -3x = 3(x + 6) + 6 Reorder the terms: 67 + -3x = 3(6 + x) + 6 67 + -3x = (6 * 3 + x * 3) + 6 67 + -3x = (18 + 3x) + 6 Reorder the terms: 67 + -3x = 18 + 6 + 3x Combine like terms: 18 + 6 = 24 67 + -3x = 24 + 3x Solving 67 + -3x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 67 + -3x + -3x = 24 + 3x + -3x Combine like terms: -3x + -3x = -6x 67 + -6x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 67 + -6x = 24 + 0 67 + -6x = 24 Add '-67' to each side of the equation. 67 + -67 + -6x = 24 + -67 Combine like terms: 67 + -67 = 0 0 + -6x = 24 + -67 -6x = 24 + -67 Combine like terms: 24 + -67 = -43 -6x = -43 Divide each side by '-6'. x = 7.166666667 Simplifying x = 7.166666667
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