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Simplifying 5(-9x + 6) + 9 = -4(12x + -9) Reorder the terms: 5(6 + -9x) + 9 = -4(12x + -9) (6 * 5 + -9x * 5) + 9 = -4(12x + -9) (30 + -45x) + 9 = -4(12x + -9) Reorder the terms: 30 + 9 + -45x = -4(12x + -9) Combine like terms: 30 + 9 = 39 39 + -45x = -4(12x + -9) Reorder the terms: 39 + -45x = -4(-9 + 12x) 39 + -45x = (-9 * -4 + 12x * -4) 39 + -45x = (36 + -48x) Solving 39 + -45x = 36 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 39 + -45x + 48x = 36 + -48x + 48x Combine like terms: -45x + 48x = 3x 39 + 3x = 36 + -48x + 48x Combine like terms: -48x + 48x = 0 39 + 3x = 36 + 0 39 + 3x = 36 Add '-39' to each side of the equation. 39 + -39 + 3x = 36 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 36 + -39 3x = 36 + -39 Combine like terms: 36 + -39 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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