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Simplifying (7x + 12) + -1(6x + -5) = 0 Reorder the terms: (12 + 7x) + -1(6x + -5) = 0 Remove parenthesis around (12 + 7x) 12 + 7x + -1(6x + -5) = 0 Reorder the terms: 12 + 7x + -1(-5 + 6x) = 0 12 + 7x + (-5 * -1 + 6x * -1) = 0 12 + 7x + (5 + -6x) = 0 Reorder the terms: 12 + 5 + 7x + -6x = 0 Combine like terms: 12 + 5 = 17 17 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x 17 + 1x = 0 Solving 17 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 0 + -17 1x = 0 + -17 Combine like terms: 0 + -17 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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