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Simplifying 6x + -1(7x + -6) = -12 Reorder the terms: 6x + -1(-6 + 7x) = -12 6x + (-6 * -1 + 7x * -1) = -12 6x + (6 + -7x) = -12 Reorder the terms: 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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