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