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Simplifying 2(3x + 1) + -8x = 12 Reorder the terms: 2(1 + 3x) + -8x = 12 (1 * 2 + 3x * 2) + -8x = 12 (2 + 6x) + -8x = 12 Combine like terms: 6x + -8x = -2x 2 + -2x = 12 Solving 2 + -2x = 12 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 + -2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 12 + -2 -2x = 12 + -2 Combine like terms: 12 + -2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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