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Simplifying -6(x + -6) + -5(3x + -2) = -17 Reorder the terms: -6(-6 + x) + -5(3x + -2) = -17 (-6 * -6 + x * -6) + -5(3x + -2) = -17 (36 + -6x) + -5(3x + -2) = -17 Reorder the terms: 36 + -6x + -5(-2 + 3x) = -17 36 + -6x + (-2 * -5 + 3x * -5) = -17 36 + -6x + (10 + -15x) = -17 Reorder the terms: 36 + 10 + -6x + -15x = -17 Combine like terms: 36 + 10 = 46 46 + -6x + -15x = -17 Combine like terms: -6x + -15x = -21x 46 + -21x = -17 Solving 46 + -21x = -17 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 + -21x = -17 + -46 Combine like terms: 46 + -46 = 0 0 + -21x = -17 + -46 -21x = -17 + -46 Combine like terms: -17 + -46 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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