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Simplifying 3x + 5(4x + -11) = 83 Reorder the terms: 3x + 5(-11 + 4x) = 83 3x + (-11 * 5 + 4x * 5) = 83 3x + (-55 + 20x) = 83 Reorder the terms: -55 + 3x + 20x = 83 Combine like terms: 3x + 20x = 23x -55 + 23x = 83 Solving -55 + 23x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 23x = 83 + 55 Combine like terms: -55 + 55 = 0 0 + 23x = 83 + 55 23x = 83 + 55 Combine like terms: 83 + 55 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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