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Simplifying 6(1 + 3x) = -2(9 + -3x) (1 * 6 + 3x * 6) = -2(9 + -3x) (6 + 18x) = -2(9 + -3x) 6 + 18x = (9 * -2 + -3x * -2) 6 + 18x = (-18 + 6x) Solving 6 + 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. 6 + 18x + -6x = -18 + 6x + -6x Combine like terms: 18x + -6x = 12x 6 + 12x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 12x = -18 + 0 6 + 12x = -18 Add '-6' to each side of the equation. 6 + -6 + 12x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -18 + -6 12x = -18 + -6 Combine like terms: -18 + -6 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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