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Simplifying 12(2 + -1x) = 6(x + 1) (2 * 12 + -1x * 12) = 6(x + 1) (24 + -12x) = 6(x + 1) Reorder the terms: 24 + -12x = 6(1 + x) 24 + -12x = (1 * 6 + x * 6) 24 + -12x = (6 + 6x) Solving 24 + -12x = 6 + 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. 24 + -12x + -6x = 6 + 6x + -6x Combine like terms: -12x + -6x = -18x 24 + -18x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -18x = 6 + 0 24 + -18x = 6 Add '-24' to each side of the equation. 24 + -24 + -18x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = 6 + -24 -18x = 6 + -24 Combine like terms: 6 + -24 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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