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Simplifying 11(2x + -3) = 33 + 13x Reorder the terms: 11(-3 + 2x) = 33 + 13x (-3 * 11 + 2x * 11) = 33 + 13x (-33 + 22x) = 33 + 13x Solving -33 + 22x = 33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -33 + 22x + -13x = 33 + 13x + -13x Combine like terms: 22x + -13x = 9x -33 + 9x = 33 + 13x + -13x Combine like terms: 13x + -13x = 0 -33 + 9x = 33 + 0 -33 + 9x = 33 Add '33' to each side of the equation. -33 + 33 + 9x = 33 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 33 + 33 9x = 33 + 33 Combine like terms: 33 + 33 = 66 9x = 66 Divide each side by '9'. x = 7.333333333 Simplifying x = 7.333333333
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