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Simplifying 2(3x + -1) = 12 + -1x Reorder the terms: 2(-1 + 3x) = 12 + -1x (-1 * 2 + 3x * 2) = 12 + -1x (-2 + 6x) = 12 + -1x Solving -2 + 6x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 6x + x = 12 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = 12 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 12 + 0 -2 + 7x = 12 Add '2' to each side of the equation. -2 + 2 + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 12 + 2 7x = 12 + 2 Combine like terms: 12 + 2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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