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Simplifying (5x + 6) + -1(7x + -9) = 0 Reorder the terms: (6 + 5x) + -1(7x + -9) = 0 Remove parenthesis around (6 + 5x) 6 + 5x + -1(7x + -9) = 0 Reorder the terms: 6 + 5x + -1(-9 + 7x) = 0 6 + 5x + (-9 * -1 + 7x * -1) = 0 6 + 5x + (9 + -7x) = 0 Reorder the terms: 6 + 9 + 5x + -7x = 0 Combine like terms: 6 + 9 = 15 15 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x 15 + -2x = 0 Solving 15 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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