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Simplifying -4(x + -12) + -2 = 6 Reorder the terms: -4(-12 + x) + -2 = 6 (-12 * -4 + x * -4) + -2 = 6 (48 + -4x) + -2 = 6 Reorder the terms: 48 + -2 + -4x = 6 Combine like terms: 48 + -2 = 46 46 + -4x = 6 Solving 46 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -4x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 6 + -46 -4x = 6 + -46 Combine like terms: 6 + -46 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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