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Simplifying 11(2x + -3) = 3x + 42 + 8x Reorder the terms: 11(-3 + 2x) = 3x + 42 + 8x (-3 * 11 + 2x * 11) = 3x + 42 + 8x (-33 + 22x) = 3x + 42 + 8x Reorder the terms: -33 + 22x = 42 + 3x + 8x Combine like terms: 3x + 8x = 11x -33 + 22x = 42 + 11x Solving -33 + 22x = 42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -33 + 22x + -11x = 42 + 11x + -11x Combine like terms: 22x + -11x = 11x -33 + 11x = 42 + 11x + -11x Combine like terms: 11x + -11x = 0 -33 + 11x = 42 + 0 -33 + 11x = 42 Add '33' to each side of the equation. -33 + 33 + 11x = 42 + 33 Combine like terms: -33 + 33 = 0 0 + 11x = 42 + 33 11x = 42 + 33 Combine like terms: 42 + 33 = 75 11x = 75 Divide each side by '11'. x = 6.818181818 Simplifying x = 6.818181818
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