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Simplifying 7(2x + -3) = 3(3x + 3) Reorder the terms: 7(-3 + 2x) = 3(3x + 3) (-3 * 7 + 2x * 7) = 3(3x + 3) (-21 + 14x) = 3(3x + 3) Reorder the terms: -21 + 14x = 3(3 + 3x) -21 + 14x = (3 * 3 + 3x * 3) -21 + 14x = (9 + 9x) Solving -21 + 14x = 9 + 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 = 9 + 9x + -9x Combine like terms: 14x + -9x = 5x -21 + 5x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + 5x = 9 + 0 -21 + 5x = 9 Add '21' to each side of the equation. -21 + 21 + 5x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 9 + 21 5x = 9 + 21 Combine like terms: 9 + 21 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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