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Simplifying 18(x + -1) = 6(3 + -1x) + 12x Reorder the terms: 18(-1 + x) = 6(3 + -1x) + 12x (-1 * 18 + x * 18) = 6(3 + -1x) + 12x (-18 + 18x) = 6(3 + -1x) + 12x -18 + 18x = (3 * 6 + -1x * 6) + 12x -18 + 18x = (18 + -6x) + 12x Combine like terms: -6x + 12x = 6x -18 + 18x = 18 + 6x Solving -18 + 18x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 18x + -6x = 18 + 6x + -6x Combine like terms: 18x + -6x = 12x -18 + 12x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 12x = 18 + 0 -18 + 12x = 18 Add '18' to each side of the equation. -18 + 18 + 12x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 18 + 18 12x = 18 + 18 Combine like terms: 18 + 18 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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