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Simplifying 2(3x + 1) + -2 = -2 + 4x + 8 Reorder the terms: 2(1 + 3x) + -2 = -2 + 4x + 8 (1 * 2 + 3x * 2) + -2 = -2 + 4x + 8 (2 + 6x) + -2 = -2 + 4x + 8 Reorder the terms: 2 + -2 + 6x = -2 + 4x + 8 Combine like terms: 2 + -2 = 0 0 + 6x = -2 + 4x + 8 6x = -2 + 4x + 8 Reorder the terms: 6x = -2 + 8 + 4x Combine like terms: -2 + 8 = 6 6x = 6 + 4x Solving 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. 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 2x = 6 + 0 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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