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