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Simplifying 3(x + -2) + 2 = 3x + -2(2 + -1x) Reorder the terms: 3(-2 + x) + 2 = 3x + -2(2 + -1x) (-2 * 3 + x * 3) + 2 = 3x + -2(2 + -1x) (-6 + 3x) + 2 = 3x + -2(2 + -1x) Reorder the terms: -6 + 2 + 3x = 3x + -2(2 + -1x) Combine like terms: -6 + 2 = -4 -4 + 3x = 3x + -2(2 + -1x) -4 + 3x = 3x + (2 * -2 + -1x * -2) -4 + 3x = 3x + (-4 + 2x) Reorder the terms: -4 + 3x = -4 + 3x + 2x Combine like terms: 3x + 2x = 5x -4 + 3x = -4 + 5x Add '4' to each side of the equation. -4 + 4 + 3x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 3x = -4 + 4 + 5x 3x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 3x = 0 + 5x 3x = 5x Solving 3x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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