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Simplifying -68 = -6(8x + -6) + 2(8 + -6x) Reorder the terms: -68 = -6(-6 + 8x) + 2(8 + -6x) -68 = (-6 * -6 + 8x * -6) + 2(8 + -6x) -68 = (36 + -48x) + 2(8 + -6x) -68 = 36 + -48x + (8 * 2 + -6x * 2) -68 = 36 + -48x + (16 + -12x) Reorder the terms: -68 = 36 + 16 + -48x + -12x Combine like terms: 36 + 16 = 52 -68 = 52 + -48x + -12x Combine like terms: -48x + -12x = -60x -68 = 52 + -60x Solving -68 = 52 + -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. -68 + 60x = 52 + -60x + 60x Combine like terms: -60x + 60x = 0 -68 + 60x = 52 + 0 -68 + 60x = 52 Add '68' to each side of the equation. -68 + 68 + 60x = 52 + 68 Combine like terms: -68 + 68 = 0 0 + 60x = 52 + 68 60x = 52 + 68 Combine like terms: 52 + 68 = 120 60x = 120 Divide each side by '60'. x = 2 Simplifying x = 2
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