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Simplifying -3(2 + x) = -2(-1x + -2) (2 * -3 + x * -3) = -2(-1x + -2) (-6 + -3x) = -2(-1x + -2) Reorder the terms: -6 + -3x = -2(-2 + -1x) -6 + -3x = (-2 * -2 + -1x * -2) -6 + -3x = (4 + 2x) Solving -6 + -3x = 4 + 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. -6 + -3x + -2x = 4 + 2x + -2x Combine like terms: -3x + -2x = -5x -6 + -5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -5x = 4 + 0 -6 + -5x = 4 Add '6' to each side of the equation. -6 + 6 + -5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 4 + 6 -5x = 4 + 6 Combine like terms: 4 + 6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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