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Simplifying 2(5x + 17) = 37x + 5 + -1(23x + -5) Reorder the terms: 2(17 + 5x) = 37x + 5 + -1(23x + -5) (17 * 2 + 5x * 2) = 37x + 5 + -1(23x + -5) (34 + 10x) = 37x + 5 + -1(23x + -5) Reorder the terms: 34 + 10x = 37x + 5 + -1(-5 + 23x) 34 + 10x = 37x + 5 + (-5 * -1 + 23x * -1) 34 + 10x = 37x + 5 + (5 + -23x) Reorder the terms: 34 + 10x = 5 + 5 + 37x + -23x Combine like terms: 5 + 5 = 10 34 + 10x = 10 + 37x + -23x Combine like terms: 37x + -23x = 14x 34 + 10x = 10 + 14x Solving 34 + 10x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + 10x + -14x = 10 + 14x + -14x Combine like terms: 10x + -14x = -4x 34 + -4x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -4x = 10 + 0 34 + -4x = 10 Add '-34' to each side of the equation. 34 + -34 + -4x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 10 + -34 -4x = 10 + -34 Combine like terms: 10 + -34 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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