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Simplifying 3(6 + -6x) = 2 + -2(6x + 1) (6 * 3 + -6x * 3) = 2 + -2(6x + 1) (18 + -18x) = 2 + -2(6x + 1) Reorder the terms: 18 + -18x = 2 + -2(1 + 6x) 18 + -18x = 2 + (1 * -2 + 6x * -2) 18 + -18x = 2 + (-2 + -12x) Combine like terms: 2 + -2 = 0 18 + -18x = 0 + -12x 18 + -18x = -12x Solving 18 + -18x = -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 = -12x + 12x Combine like terms: -18x + 12x = -6x 18 + -6x = -12x + 12x Combine like terms: -12x + 12x = 0 18 + -6x = 0 Add '-18' to each side of the equation. 18 + -18 + -6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 0 + -18 -6x = 0 + -18 Combine like terms: 0 + -18 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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