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Simplifying 3(x + -6) = 12 + -2x Reorder the terms: 3(-6 + x) = 12 + -2x (-6 * 3 + x * 3) = 12 + -2x (-18 + 3x) = 12 + -2x Solving -18 + 3x = 12 + -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. -18 + 3x + 2x = 12 + -2x + 2x Combine like terms: 3x + 2x = 5x -18 + 5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 5x = 12 + 0 -18 + 5x = 12 Add '18' to each side of the equation. -18 + 18 + 5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 12 + 18 5x = 12 + 18 Combine like terms: 12 + 18 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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