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