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Simplifying (6 + 3x) * 2 = 4x + -2 Reorder the terms for easier multiplication: 2(6 + 3x) = 4x + -2 (6 * 2 + 3x * 2) = 4x + -2 (12 + 6x) = 4x + -2 Reorder the terms: 12 + 6x = -2 + 4x Solving 12 + 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. 12 + 6x + -4x = -2 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -2 + 0 12 + 2x = -2 Add '-12' to each side of the equation. 12 + -12 + 2x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -2 + -12 2x = -2 + -12 Combine like terms: -2 + -12 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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