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Simplifying -7(6x + -6) = -26 + -8x Reorder the terms: -7(-6 + 6x) = -26 + -8x (-6 * -7 + 6x * -7) = -26 + -8x (42 + -42x) = -26 + -8x Solving 42 + -42x = -26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -42x + 8x = -26 + -8x + 8x Combine like terms: -42x + 8x = -34x 42 + -34x = -26 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -34x = -26 + 0 42 + -34x = -26 Add '-42' to each side of the equation. 42 + -42 + -34x = -26 + -42 Combine like terms: 42 + -42 = 0 0 + -34x = -26 + -42 -34x = -26 + -42 Combine like terms: -26 + -42 = -68 -34x = -68 Divide each side by '-34'. x = 2 Simplifying x = 2
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