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Simplifying 6(3x + 2) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 6(2 + 3x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9x (2 * 6 + 3x * 6) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9x (12 + 18x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 12 + 18x + -5(-1 + 6x) = 3(x + -8) + -5(7x + -6) + 9x 12 + 18x + (-1 * -5 + 6x * -5) = 3(x + -8) + -5(7x + -6) + 9x 12 + 18x + (5 + -30x) = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 12 + 5 + 18x + -30x = 3(x + -8) + -5(7x + -6) + 9x Combine like terms: 12 + 5 = 17 17 + 18x + -30x = 3(x + -8) + -5(7x + -6) + 9x Combine like terms: 18x + -30x = -12x 17 + -12x = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 17 + -12x = 3(-8 + x) + -5(7x + -6) + 9x 17 + -12x = (-8 * 3 + x * 3) + -5(7x + -6) + 9x 17 + -12x = (-24 + 3x) + -5(7x + -6) + 9x Reorder the terms: 17 + -12x = -24 + 3x + -5(-6 + 7x) + 9x 17 + -12x = -24 + 3x + (-6 * -5 + 7x * -5) + 9x 17 + -12x = -24 + 3x + (30 + -35x) + 9x Reorder the terms: 17 + -12x = -24 + 30 + 3x + -35x + 9x Combine like terms: -24 + 30 = 6 17 + -12x = 6 + 3x + -35x + 9x Combine like terms: 3x + -35x = -32x 17 + -12x = 6 + -32x + 9x Combine like terms: -32x + 9x = -23x 17 + -12x = 6 + -23x Solving 17 + -12x = 6 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 17 + -12x + 23x = 6 + -23x + 23x Combine like terms: -12x + 23x = 11x 17 + 11x = 6 + -23x + 23x Combine like terms: -23x + 23x = 0 17 + 11x = 6 + 0 17 + 11x = 6 Add '-17' to each side of the equation. 17 + -17 + 11x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 6 + -17 11x = 6 + -17 Combine like terms: 6 + -17 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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