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Simplifying 3(3x + -2) = 2(2x + 7) Reorder the terms: 3(-2 + 3x) = 2(2x + 7) (-2 * 3 + 3x * 3) = 2(2x + 7) (-6 + 9x) = 2(2x + 7) Reorder the terms: -6 + 9x = 2(7 + 2x) -6 + 9x = (7 * 2 + 2x * 2) -6 + 9x = (14 + 4x) Solving -6 + 9x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 9x + -4x = 14 + 4x + -4x Combine like terms: 9x + -4x = 5x -6 + 5x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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