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Simplifying (-7x + 9) * 2 + -7(-7x + 9) + 6 = 0 Reorder the terms: (9 + -7x) * 2 + -7(-7x + 9) + 6 = 0 Reorder the terms for easier multiplication: 2(9 + -7x) + -7(-7x + 9) + 6 = 0 (9 * 2 + -7x * 2) + -7(-7x + 9) + 6 = 0 (18 + -14x) + -7(-7x + 9) + 6 = 0 Reorder the terms: 18 + -14x + -7(9 + -7x) + 6 = 0 18 + -14x + (9 * -7 + -7x * -7) + 6 = 0 18 + -14x + (-63 + 49x) + 6 = 0 Reorder the terms: 18 + -63 + 6 + -14x + 49x = 0 Combine like terms: 18 + -63 = -45 -45 + 6 + -14x + 49x = 0 Combine like terms: -45 + 6 = -39 -39 + -14x + 49x = 0 Combine like terms: -14x + 49x = 35x -39 + 35x = 0 Solving -39 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 35x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 35x = 0 + 39 35x = 0 + 39 Combine like terms: 0 + 39 = 39 35x = 39 Divide each side by '35'. x = 1.114285714 Simplifying x = 1.114285714
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