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Simplifying 7(3x + 2) + -4(3x + -8) = -56 Reorder the terms: 7(2 + 3x) + -4(3x + -8) = -56 (2 * 7 + 3x * 7) + -4(3x + -8) = -56 (14 + 21x) + -4(3x + -8) = -56 Reorder the terms: 14 + 21x + -4(-8 + 3x) = -56 14 + 21x + (-8 * -4 + 3x * -4) = -56 14 + 21x + (32 + -12x) = -56 Reorder the terms: 14 + 32 + 21x + -12x = -56 Combine like terms: 14 + 32 = 46 46 + 21x + -12x = -56 Combine like terms: 21x + -12x = 9x 46 + 9x = -56 Solving 46 + 9x = -56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 9x = -56 + -46 Combine like terms: 46 + -46 = 0 0 + 9x = -56 + -46 9x = -56 + -46 Combine like terms: -56 + -46 = -102 9x = -102 Divide each side by '9'. x = -11.33333333 Simplifying x = -11.33333333
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