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Simplifying 6x + -1 + -1(12x + -3) = 12 Reorder the terms: 6x + -1 + -1(-3 + 12x) = 12 6x + -1 + (-3 * -1 + 12x * -1) = 12 6x + -1 + (3 + -12x) = 12 Reorder the terms: -1 + 3 + 6x + -12x = 12 Combine like terms: -1 + 3 = 2 2 + 6x + -12x = 12 Combine like terms: 6x + -12x = -6x 2 + -6x = 12 Solving 2 + -6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 12 + -2 -6x = 12 + -2 Combine like terms: 12 + -2 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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