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Simplifying -2(12x + 1) = 2(1 + -11x) Reorder the terms: -2(1 + 12x) = 2(1 + -11x) (1 * -2 + 12x * -2) = 2(1 + -11x) (-2 + -24x) = 2(1 + -11x) -2 + -24x = (1 * 2 + -11x * 2) -2 + -24x = (2 + -22x) Solving -2 + -24x = 2 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -2 + -24x + 22x = 2 + -22x + 22x Combine like terms: -24x + 22x = -2x -2 + -2x = 2 + -22x + 22x Combine like terms: -22x + 22x = 0 -2 + -2x = 2 + 0 -2 + -2x = 2 Add '2' to each side of the equation. -2 + 2 + -2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 2 + 2 -2x = 2 + 2 Combine like terms: 2 + 2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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