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Simplifying 2(3x + -2) = 2 + 3x + 6 Reorder the terms: 2(-2 + 3x) = 2 + 3x + 6 (-2 * 2 + 3x * 2) = 2 + 3x + 6 (-4 + 6x) = 2 + 3x + 6 Reorder the terms: -4 + 6x = 2 + 6 + 3x Combine like terms: 2 + 6 = 8 -4 + 6x = 8 + 3x Solving -4 + 6x = 8 + 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 + 6x + -3x = 8 + 3x + -3x Combine like terms: 6x + -3x = 3x -4 + 3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 3x = 8 + 0 -4 + 3x = 8 Add '4' to each side of the equation. -4 + 4 + 3x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 8 + 4 3x = 8 + 4 Combine like terms: 8 + 4 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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