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Simplifying 3(2x + -3) = 11(3x + 5) Reorder the terms: 3(-3 + 2x) = 11(3x + 5) (-3 * 3 + 2x * 3) = 11(3x + 5) (-9 + 6x) = 11(3x + 5) Reorder the terms: -9 + 6x = 11(5 + 3x) -9 + 6x = (5 * 11 + 3x * 11) -9 + 6x = (55 + 33x) Solving -9 + 6x = 55 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -9 + 6x + -33x = 55 + 33x + -33x Combine like terms: 6x + -33x = -27x -9 + -27x = 55 + 33x + -33x Combine like terms: 33x + -33x = 0 -9 + -27x = 55 + 0 -9 + -27x = 55 Add '9' to each side of the equation. -9 + 9 + -27x = 55 + 9 Combine like terms: -9 + 9 = 0 0 + -27x = 55 + 9 -27x = 55 + 9 Combine like terms: 55 + 9 = 64 -27x = 64 Divide each side by '-27'. x = -2.37037037 Simplifying x = -2.37037037
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