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Simplifying 3(3x + -1) = 2(3x + 2) Reorder the terms: 3(-1 + 3x) = 2(3x + 2) (-1 * 3 + 3x * 3) = 2(3x + 2) (-3 + 9x) = 2(3x + 2) Reorder the terms: -3 + 9x = 2(2 + 3x) -3 + 9x = (2 * 2 + 3x * 2) -3 + 9x = (4 + 6x) Solving -3 + 9x = 4 + 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. -3 + 9x + -6x = 4 + 6x + -6x Combine like terms: 9x + -6x = 3x -3 + 3x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 3x = 4 + 0 -3 + 3x = 4 Add '3' to each side of the equation. -3 + 3 + 3x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 4 + 3 3x = 4 + 3 Combine like terms: 4 + 3 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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