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Simplifying 12x + -1(6x + -2) = 38 Reorder the terms: 12x + -1(-2 + 6x) = 38 12x + (-2 * -1 + 6x * -1) = 38 12x + (2 + -6x) = 38 Reorder the terms: 2 + 12x + -6x = 38 Combine like terms: 12x + -6x = 6x 2 + 6x = 38 Solving 2 + 6x = 38 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 = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 38 + -2 6x = 38 + -2 Combine like terms: 38 + -2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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