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Simplifying 8 = 7(2x + -2) + -5(8x + 6) Reorder the terms: 8 = 7(-2 + 2x) + -5(8x + 6) 8 = (-2 * 7 + 2x * 7) + -5(8x + 6) 8 = (-14 + 14x) + -5(8x + 6) Reorder the terms: 8 = -14 + 14x + -5(6 + 8x) 8 = -14 + 14x + (6 * -5 + 8x * -5) 8 = -14 + 14x + (-30 + -40x) Reorder the terms: 8 = -14 + -30 + 14x + -40x Combine like terms: -14 + -30 = -44 8 = -44 + 14x + -40x Combine like terms: 14x + -40x = -26x 8 = -44 + -26x Solving 8 = -44 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 8 + 26x = -44 + -26x + 26x Combine like terms: -26x + 26x = 0 8 + 26x = -44 + 0 8 + 26x = -44 Add '-8' to each side of the equation. 8 + -8 + 26x = -44 + -8 Combine like terms: 8 + -8 = 0 0 + 26x = -44 + -8 26x = -44 + -8 Combine like terms: -44 + -8 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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