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Simplifying 9(3x + -11) = 4(5x + -9) Reorder the terms: 9(-11 + 3x) = 4(5x + -9) (-11 * 9 + 3x * 9) = 4(5x + -9) (-99 + 27x) = 4(5x + -9) Reorder the terms: -99 + 27x = 4(-9 + 5x) -99 + 27x = (-9 * 4 + 5x * 4) -99 + 27x = (-36 + 20x) Solving -99 + 27x = -36 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -99 + 27x + -20x = -36 + 20x + -20x Combine like terms: 27x + -20x = 7x -99 + 7x = -36 + 20x + -20x Combine like terms: 20x + -20x = 0 -99 + 7x = -36 + 0 -99 + 7x = -36 Add '99' to each side of the equation. -99 + 99 + 7x = -36 + 99 Combine like terms: -99 + 99 = 0 0 + 7x = -36 + 99 7x = -36 + 99 Combine like terms: -36 + 99 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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