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