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Simplifying -7x + -7x = 6(2x + 11) + 9(8 + -8x) Combine like terms: -7x + -7x = -14x -14x = 6(2x + 11) + 9(8 + -8x) Reorder the terms: -14x = 6(11 + 2x) + 9(8 + -8x) -14x = (11 * 6 + 2x * 6) + 9(8 + -8x) -14x = (66 + 12x) + 9(8 + -8x) -14x = 66 + 12x + (8 * 9 + -8x * 9) -14x = 66 + 12x + (72 + -72x) Reorder the terms: -14x = 66 + 72 + 12x + -72x Combine like terms: 66 + 72 = 138 -14x = 138 + 12x + -72x Combine like terms: 12x + -72x = -60x -14x = 138 + -60x Solving -14x = 138 + -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. -14x + 60x = 138 + -60x + 60x Combine like terms: -14x + 60x = 46x 46x = 138 + -60x + 60x Combine like terms: -60x + 60x = 0 46x = 138 + 0 46x = 138 Divide each side by '46'. x = 3 Simplifying x = 3
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