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Simplifying 7(2x + 3) = 3(3x + -2) Reorder the terms: 7(3 + 2x) = 3(3x + -2) (3 * 7 + 2x * 7) = 3(3x + -2) (21 + 14x) = 3(3x + -2) Reorder the terms: 21 + 14x = 3(-2 + 3x) 21 + 14x = (-2 * 3 + 3x * 3) 21 + 14x = (-6 + 9x) Solving 21 + 14x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 14x + -9x = -6 + 9x + -9x Combine like terms: 14x + -9x = 5x 21 + 5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + 5x = -6 + 0 21 + 5x = -6 Add '-21' to each side of the equation. 21 + -21 + 5x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = -6 + -21 5x = -6 + -21 Combine like terms: -6 + -21 = -27 5x = -27 Divide each side by '5'. x = -5.4 Simplifying x = -5.4
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