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Simplifying -2(2 + -3x) = 2(x + -6) (2 * -2 + -3x * -2) = 2(x + -6) (-4 + 6x) = 2(x + -6) Reorder the terms: -4 + 6x = 2(-6 + x) -4 + 6x = (-6 * 2 + x * 2) -4 + 6x = (-12 + 2x) Solving -4 + 6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = -12 + 0 -4 + 4x = -12 Add '4' to each side of the equation. -4 + 4 + 4x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -12 + 4 4x = -12 + 4 Combine like terms: -12 + 4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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