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Simplifying -2(x + -5) + 6(2x + -3) = 12 Reorder the terms: -2(-5 + x) + 6(2x + -3) = 12 (-5 * -2 + x * -2) + 6(2x + -3) = 12 (10 + -2x) + 6(2x + -3) = 12 Reorder the terms: 10 + -2x + 6(-3 + 2x) = 12 10 + -2x + (-3 * 6 + 2x * 6) = 12 10 + -2x + (-18 + 12x) = 12 Reorder the terms: 10 + -18 + -2x + 12x = 12 Combine like terms: 10 + -18 = -8 -8 + -2x + 12x = 12 Combine like terms: -2x + 12x = 10x -8 + 10x = 12 Solving -8 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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