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Simplifying 3(3x + -2) = 2(3x + 7) Reorder the terms: 3(-2 + 3x) = 2(3x + 7) (-2 * 3 + 3x * 3) = 2(3x + 7) (-6 + 9x) = 2(3x + 7) Reorder the terms: -6 + 9x = 2(7 + 3x) -6 + 9x = (7 * 2 + 3x * 2) -6 + 9x = (14 + 6x) Solving -6 + 9x = 14 + 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 + 9x + -6x = 14 + 6x + -6x Combine like terms: 9x + -6x = 3x -6 + 3x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 3x = 14 + 0 -6 + 3x = 14 Add '6' to each side of the equation. -6 + 6 + 3x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 14 + 6 3x = 14 + 6 Combine like terms: 14 + 6 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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