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Simplifying 3(3 + -4x) = 3(2x + 1) (3 * 3 + -4x * 3) = 3(2x + 1) (9 + -12x) = 3(2x + 1) Reorder the terms: 9 + -12x = 3(1 + 2x) 9 + -12x = (1 * 3 + 2x * 3) 9 + -12x = (3 + 6x) Solving 9 + -12x = 3 + 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. 9 + -12x + -6x = 3 + 6x + -6x Combine like terms: -12x + -6x = -18x 9 + -18x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -18x = 3 + 0 9 + -18x = 3 Add '-9' to each side of the equation. 9 + -9 + -18x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = 3 + -9 -18x = 3 + -9 Combine like terms: 3 + -9 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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