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Simplifying 7(8 + -2x) + -6(5 + -1x) = x (8 * 7 + -2x * 7) + -6(5 + -1x) = x (56 + -14x) + -6(5 + -1x) = x 56 + -14x + (5 * -6 + -1x * -6) = x 56 + -14x + (-30 + 6x) = x Reorder the terms: 56 + -30 + -14x + 6x = x Combine like terms: 56 + -30 = 26 26 + -14x + 6x = x Combine like terms: -14x + 6x = -8x 26 + -8x = x Solving 26 + -8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 26 + -8x + -1x = x + -1x Combine like terms: -8x + -1x = -9x 26 + -9x = x + -1x Combine like terms: x + -1x = 0 26 + -9x = 0 Add '-26' to each side of the equation. 26 + -26 + -9x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 0 + -26 -9x = 0 + -26 Combine like terms: 0 + -26 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889
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