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Simplifying (5x + 7) + -1(-7x + 9) = 0 Reorder the terms: (7 + 5x) + -1(-7x + 9) = 0 Remove parenthesis around (7 + 5x) 7 + 5x + -1(-7x + 9) = 0 Reorder the terms: 7 + 5x + -1(9 + -7x) = 0 7 + 5x + (9 * -1 + -7x * -1) = 0 7 + 5x + (-9 + 7x) = 0 Reorder the terms: 7 + -9 + 5x + 7x = 0 Combine like terms: 7 + -9 = -2 -2 + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x -2 + 12x = 0 Solving -2 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 0 + 2 12x = 0 + 2 Combine like terms: 0 + 2 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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