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Simplifying (7x + 6) + -1(9x + -6) = 0 Reorder the terms: (6 + 7x) + -1(9x + -6) = 0 Remove parenthesis around (6 + 7x) 6 + 7x + -1(9x + -6) = 0 Reorder the terms: 6 + 7x + -1(-6 + 9x) = 0 6 + 7x + (-6 * -1 + 9x * -1) = 0 6 + 7x + (6 + -9x) = 0 Reorder the terms: 6 + 6 + 7x + -9x = 0 Combine like terms: 6 + 6 = 12 12 + 7x + -9x = 0 Combine like terms: 7x + -9x = -2x 12 + -2x = 0 Solving 12 + -2x = 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 + -2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 0 + -12 -2x = 0 + -12 Combine like terms: 0 + -12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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