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Simplifying 3(x + -6) = 12 + x Reorder the terms: 3(-6 + x) = 12 + x (-6 * 3 + x * 3) = 12 + x (-18 + 3x) = 12 + x Solving -18 + 3x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x -18 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 -18 + 2x = 12 + 0 -18 + 2x = 12 Add '18' to each side of the equation. -18 + 18 + 2x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 12 + 18 2x = 12 + 18 Combine like terms: 12 + 18 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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