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Simplifying (6x + -1) + -1(7x + 5) = 12 Reorder the terms: (-1 + 6x) + -1(7x + 5) = 12 Remove parenthesis around (-1 + 6x) -1 + 6x + -1(7x + 5) = 12 Reorder the terms: -1 + 6x + -1(5 + 7x) = 12 -1 + 6x + (5 * -1 + 7x * -1) = 12 -1 + 6x + (-5 + -7x) = 12 Reorder the terms: -1 + -5 + 6x + -7x = 12 Combine like terms: -1 + -5 = -6 -6 + 6x + -7x = 12 Combine like terms: 6x + -7x = -1x -6 + -1x = 12 Solving -6 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 12 + 6 -1x = 12 + 6 Combine like terms: 12 + 6 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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