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Simplifying (6x + 11) + -1(12x + -7) = 0 Reorder the terms: (11 + 6x) + -1(12x + -7) = 0 Remove parenthesis around (11 + 6x) 11 + 6x + -1(12x + -7) = 0 Reorder the terms: 11 + 6x + -1(-7 + 12x) = 0 11 + 6x + (-7 * -1 + 12x * -1) = 0 11 + 6x + (7 + -12x) = 0 Reorder the terms: 11 + 7 + 6x + -12x = 0 Combine like terms: 11 + 7 = 18 18 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 18 + -6x = 0 Solving 18 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 0 + -18 -6x = 0 + -18 Combine like terms: 0 + -18 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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