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Simplifying 2(6x + -1) = 18 + 2x Reorder the terms: 2(-1 + 6x) = 18 + 2x (-1 * 2 + 6x * 2) = 18 + 2x (-2 + 12x) = 18 + 2x Solving -2 + 12x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 12x + -2x = 18 + 2x + -2x Combine like terms: 12x + -2x = 10x -2 + 10x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 10x = 18 + 0 -2 + 10x = 18 Add '2' to each side of the equation. -2 + 2 + 10x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 18 + 2 10x = 18 + 2 Combine like terms: 18 + 2 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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