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Simplifying (5x + 6) + (-6x + 9) = 0 Reorder the terms: (6 + 5x) + (-6x + 9) = 0 Remove parenthesis around (6 + 5x) 6 + 5x + (-6x + 9) = 0 Reorder the terms: 6 + 5x + (9 + -6x) = 0 Remove parenthesis around (9 + -6x) 6 + 5x + 9 + -6x = 0 Reorder the terms: 6 + 9 + 5x + -6x = 0 Combine like terms: 6 + 9 = 15 15 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x 15 + -1x = 0 Solving 15 + -1x = 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 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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