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Simplifying 6(x + 3) = 12 + -1(12x) Reorder the terms: 6(3 + x) = 12 + -1(12x) (3 * 6 + x * 6) = 12 + -1(12x) (18 + 6x) = 12 + -1(12x) Remove parenthesis around (12x) 18 + 6x = 12 + -1 * 12x Multiply -1 * 12 18 + 6x = 12 + -12x Solving 18 + 6x = 12 + -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 + 6x + 12x = 12 + -12x + 12x Combine like terms: 6x + 12x = 18x 18 + 18x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 18x = 12 + 0 18 + 18x = 12 Add '-18' to each side of the equation. 18 + -18 + 18x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 18x = 12 + -18 18x = 12 + -18 Combine like terms: 12 + -18 = -6 18x = -6 Divide each side by '18'. x = -0.3333333333 Simplifying x = -0.3333333333
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