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Simplifying 37x + 17 = 5(5x + -11) Reorder the terms: 17 + 37x = 5(5x + -11) Reorder the terms: 17 + 37x = 5(-11 + 5x) 17 + 37x = (-11 * 5 + 5x * 5) 17 + 37x = (-55 + 25x) Solving 17 + 37x = -55 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 17 + 37x + -25x = -55 + 25x + -25x Combine like terms: 37x + -25x = 12x 17 + 12x = -55 + 25x + -25x Combine like terms: 25x + -25x = 0 17 + 12x = -55 + 0 17 + 12x = -55 Add '-17' to each side of the equation. 17 + -17 + 12x = -55 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = -55 + -17 12x = -55 + -17 Combine like terms: -55 + -17 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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