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Simplifying -9(6x + -2((-5x + -3) + -6(-3x + -5))) + -1(-7x + 8) = 5((-6x + -3) + 9x) Reorder the terms: -9(6x + -2((-3 + -5x) + -6(-3x + -5))) + -1(-7x + 8) = 5((-6x + -3) + 9x) Remove parenthesis around (-3 + -5x) -9(6x + -2(-3 + -5x + -6(-3x + -5))) + -1(-7x + 8) = 5((-6x + -3) + 9x) Reorder the terms: -9(6x + -2(-3 + -5x + -6(-5 + -3x))) + -1(-7x + 8) = 5((-6x + -3) + 9x) -9(6x + -2(-3 + -5x + (-5 * -6 + -3x * -6))) + -1(-7x + 8) = 5((-6x + -3) + 9x) -9(6x + -2(-3 + -5x + (30 + 18x))) + -1(-7x + 8) = 5((-6x + -3) + 9x) Reorder the terms: -9(6x + -2(-3 + 30 + -5x + 18x)) + -1(-7x + 8) = 5((-6x + -3) + 9x) Combine like terms: -3 + 30 = 27 -9(6x + -2(27 + -5x + 18x)) + -1(-7x + 8) = 5((-6x + -3) + 9x) Combine like terms: -5x + 18x = 13x -9(6x + -2(27 + 13x)) + -1(-7x + 8) = 5((-6x + -3) + 9x) -9(6x + (27 * -2 + 13x * -2)) + -1(-7x + 8) = 5((-6x + -3) + 9x) -9(6x + (-54 + -26x)) + -1(-7x + 8) = 5((-6x + -3) + 9x) Reorder the terms: -9(-54 + 6x + -26x) + -1(-7x + 8) = 5((-6x + -3) + 9x) Combine like terms: 6x + -26x = -20x -9(-54 + -20x) + -1(-7x + 8) = 5((-6x + -3) + 9x) (-54 * -9 + -20x * -9) + -1(-7x + 8) = 5((-6x + -3) + 9x) (486 + 180x) + -1(-7x + 8) = 5((-6x + -3) + 9x) Reorder the terms: 486 + 180x + -1(8 + -7x) = 5((-6x + -3) + 9x) 486 + 180x + (8 * -1 + -7x * -1) = 5((-6x + -3) + 9x) 486 + 180x + (-8 + 7x) = 5((-6x + -3) + 9x) Reorder the terms: 486 + -8 + 180x + 7x = 5((-6x + -3) + 9x) Combine like terms: 486 + -8 = 478 478 + 180x + 7x = 5((-6x + -3) + 9x) Combine like terms: 180x + 7x = 187x 478 + 187x = 5((-6x + -3) + 9x) Reorder the terms: 478 + 187x = 5((-3 + -6x) + 9x) Remove parenthesis around (-3 + -6x) 478 + 187x = 5(-3 + -6x + 9x) Combine like terms: -6x + 9x = 3x 478 + 187x = 5(-3 + 3x) 478 + 187x = (-3 * 5 + 3x * 5) 478 + 187x = (-15 + 15x) Solving 478 + 187x = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 478 + 187x + -15x = -15 + 15x + -15x Combine like terms: 187x + -15x = 172x 478 + 172x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 478 + 172x = -15 + 0 478 + 172x = -15 Add '-478' to each side of the equation. 478 + -478 + 172x = -15 + -478 Combine like terms: 478 + -478 = 0 0 + 172x = -15 + -478 172x = -15 + -478 Combine like terms: -15 + -478 = -493 172x = -493 Divide each side by '172'. x = -2.86627907 Simplifying x = -2.86627907
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