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Simplifying 3(3x + -9) = 7(2x + 3) Reorder the terms: 3(-9 + 3x) = 7(2x + 3) (-9 * 3 + 3x * 3) = 7(2x + 3) (-27 + 9x) = 7(2x + 3) Reorder the terms: -27 + 9x = 7(3 + 2x) -27 + 9x = (3 * 7 + 2x * 7) -27 + 9x = (21 + 14x) Solving -27 + 9x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -27 + 9x + -14x = 21 + 14x + -14x Combine like terms: 9x + -14x = -5x -27 + -5x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 -27 + -5x = 21 + 0 -27 + -5x = 21 Add '27' to each side of the equation. -27 + 27 + -5x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 21 + 27 -5x = 21 + 27 Combine like terms: 21 + 27 = 48 -5x = 48 Divide each side by '-5'. x = -9.6 Simplifying x = -9.6
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