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Simplifying 2(1 + -3x) = -2(6 + 2x) (1 * 2 + -3x * 2) = -2(6 + 2x) (2 + -6x) = -2(6 + 2x) 2 + -6x = (6 * -2 + 2x * -2) 2 + -6x = (-12 + -4x) Solving 2 + -6x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -6x + 4x = -12 + -4x + 4x Combine like terms: -6x + 4x = -2x 2 + -2x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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