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Simplifying 3(3x + -1) = 2(3x + 1) Reorder the terms: 3(-1 + 3x) = 2(3x + 1) (-1 * 3 + 3x * 3) = 2(3x + 1) (-3 + 9x) = 2(3x + 1) Reorder the terms: -3 + 9x = 2(1 + 3x) -3 + 9x = (1 * 2 + 3x * 2) -3 + 9x = (2 + 6x) Solving -3 + 9x = 2 + 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 = 2 + 6x + -6x Combine like terms: 9x + -6x = 3x -3 + 3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 3x = 2 + 0 -3 + 3x = 2 Add '3' to each side of the equation. -3 + 3 + 3x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 2 + 3 3x = 2 + 3 Combine like terms: 2 + 3 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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