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Simplifying -12(8x + -5) + -10x = 9x + 6(6x + 10) Reorder the terms: -12(-5 + 8x) + -10x = 9x + 6(6x + 10) (-5 * -12 + 8x * -12) + -10x = 9x + 6(6x + 10) (60 + -96x) + -10x = 9x + 6(6x + 10) Combine like terms: -96x + -10x = -106x 60 + -106x = 9x + 6(6x + 10) Reorder the terms: 60 + -106x = 9x + 6(10 + 6x) 60 + -106x = 9x + (10 * 6 + 6x * 6) 60 + -106x = 9x + (60 + 36x) Reorder the terms: 60 + -106x = 60 + 9x + 36x Combine like terms: 9x + 36x = 45x 60 + -106x = 60 + 45x Add '-60' to each side of the equation. 60 + -60 + -106x = 60 + -60 + 45x Combine like terms: 60 + -60 = 0 0 + -106x = 60 + -60 + 45x -106x = 60 + -60 + 45x Combine like terms: 60 + -60 = 0 -106x = 0 + 45x -106x = 45x Solving -106x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -106x + -45x = 45x + -45x Combine like terms: -106x + -45x = -151x -151x = 45x + -45x Combine like terms: 45x + -45x = 0 -151x = 0 Divide each side by '-151'. x = 0 Simplifying x = 0
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