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Simplifying 18(x + -1) = 12(x + 3) Reorder the terms: 18(-1 + x) = 12(x + 3) (-1 * 18 + x * 18) = 12(x + 3) (-18 + 18x) = 12(x + 3) Reorder the terms: -18 + 18x = 12(3 + x) -18 + 18x = (3 * 12 + x * 12) -18 + 18x = (36 + 12x) Solving -18 + 18x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 18x + -12x = 36 + 12x + -12x Combine like terms: 18x + -12x = 6x -18 + 6x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 6x = 36 + 0 -18 + 6x = 36 Add '18' to each side of the equation. -18 + 18 + 6x = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 36 + 18 6x = 36 + 18 Combine like terms: 36 + 18 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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