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Simplifying -2(3x + -12) = 4x + x + 2 Reorder the terms: -2(-12 + 3x) = 4x + x + 2 (-12 * -2 + 3x * -2) = 4x + x + 2 (24 + -6x) = 4x + x + 2 Reorder the terms: 24 + -6x = 2 + 4x + x Combine like terms: 4x + x = 5x 24 + -6x = 2 + 5x Solving 24 + -6x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -6x + -5x = 2 + 5x + -5x Combine like terms: -6x + -5x = -11x 24 + -11x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -11x = 2 + 0 24 + -11x = 2 Add '-24' to each side of the equation. 24 + -24 + -11x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = 2 + -24 -11x = 2 + -24 Combine like terms: 2 + -24 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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