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Simplifying -2(x + -2) = -6 + 3x Reorder the terms: -2(-2 + x) = -6 + 3x (-2 * -2 + x * -2) = -6 + 3x (4 + -2x) = -6 + 3x Solving 4 + -2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = -6 + 0 4 + -5x = -6 Add '-4' to each side of the equation. 4 + -4 + -5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -6 + -4 -5x = -6 + -4 Combine like terms: -6 + -4 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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