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Simplifying 2(3x + -2) = 2(3 + -2x) Reorder the terms: 2(-2 + 3x) = 2(3 + -2x) (-2 * 2 + 3x * 2) = 2(3 + -2x) (-4 + 6x) = 2(3 + -2x) -4 + 6x = (3 * 2 + -2x * 2) -4 + 6x = (6 + -4x) Solving -4 + 6x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 6x + 4x = 6 + -4x + 4x Combine like terms: 6x + 4x = 10x -4 + 10x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 10x = 6 + 0 -4 + 10x = 6 Add '4' to each side of the equation. -4 + 4 + 10x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 6 + 4 10x = 6 + 4 Combine like terms: 6 + 4 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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