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Simplifying 6(2x + -1) + -2(5x + -9) = 2 Reorder the terms: 6(-1 + 2x) + -2(5x + -9) = 2 (-1 * 6 + 2x * 6) + -2(5x + -9) = 2 (-6 + 12x) + -2(5x + -9) = 2 Reorder the terms: -6 + 12x + -2(-9 + 5x) = 2 -6 + 12x + (-9 * -2 + 5x * -2) = 2 -6 + 12x + (18 + -10x) = 2 Reorder the terms: -6 + 18 + 12x + -10x = 2 Combine like terms: -6 + 18 = 12 12 + 12x + -10x = 2 Combine like terms: 12x + -10x = 2x 12 + 2x = 2 Solving 12 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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