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Simplifying 37 = 3x + 5(4x + -11) Reorder the terms: 37 = 3x + 5(-11 + 4x) 37 = 3x + (-11 * 5 + 4x * 5) 37 = 3x + (-55 + 20x) Reorder the terms: 37 = -55 + 3x + 20x Combine like terms: 3x + 20x = 23x 37 = -55 + 23x Solving 37 = -55 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 37 + -23x = -55 + 23x + -23x Combine like terms: 23x + -23x = 0 37 + -23x = -55 + 0 37 + -23x = -55 Add '-37' to each side of the equation. 37 + -37 + -23x = -55 + -37 Combine like terms: 37 + -37 = 0 0 + -23x = -55 + -37 -23x = -55 + -37 Combine like terms: -55 + -37 = -92 -23x = -92 Divide each side by '-23'. x = 4 Simplifying x = 4
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