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Simplifying (5x + 3) + (-6x + 9) = 0 Reorder the terms: (3 + 5x) + (-6x + 9) = 0 Remove parenthesis around (3 + 5x) 3 + 5x + (-6x + 9) = 0 Reorder the terms: 3 + 5x + (9 + -6x) = 0 Remove parenthesis around (9 + -6x) 3 + 5x + 9 + -6x = 0 Reorder the terms: 3 + 9 + 5x + -6x = 0 Combine like terms: 3 + 9 = 12 12 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x 12 + -1x = 0 Solving 12 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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