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Simplifying (3x + 7) + (-6x + 9) = 0 Reorder the terms: (7 + 3x) + (-6x + 9) = 0 Remove parenthesis around (7 + 3x) 7 + 3x + (-6x + 9) = 0 Reorder the terms: 7 + 3x + (9 + -6x) = 0 Remove parenthesis around (9 + -6x) 7 + 3x + 9 + -6x = 0 Reorder the terms: 7 + 9 + 3x + -6x = 0 Combine like terms: 7 + 9 = 16 16 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x 16 + -3x = 0 Solving 16 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333
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