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Simplifying -6(12x + -9) = 2 + 10(-8 + -6x) Reorder the terms: -6(-9 + 12x) = 2 + 10(-8 + -6x) (-9 * -6 + 12x * -6) = 2 + 10(-8 + -6x) (54 + -72x) = 2 + 10(-8 + -6x) 54 + -72x = 2 + (-8 * 10 + -6x * 10) 54 + -72x = 2 + (-80 + -60x) Combine like terms: 2 + -80 = -78 54 + -72x = -78 + -60x Solving 54 + -72x = -78 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 54 + -72x + 60x = -78 + -60x + 60x Combine like terms: -72x + 60x = -12x 54 + -12x = -78 + -60x + 60x Combine like terms: -60x + 60x = 0 54 + -12x = -78 + 0 54 + -12x = -78 Add '-54' to each side of the equation. 54 + -54 + -12x = -78 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = -78 + -54 -12x = -78 + -54 Combine like terms: -78 + -54 = -132 -12x = -132 Divide each side by '-12'. x = 11 Simplifying x = 11
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