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Simplifying (37x + 5) + -1(23x + -5) = 5x + 17 Reorder the terms: (5 + 37x) + -1(23x + -5) = 5x + 17 Remove parenthesis around (5 + 37x) 5 + 37x + -1(23x + -5) = 5x + 17 Reorder the terms: 5 + 37x + -1(-5 + 23x) = 5x + 17 5 + 37x + (-5 * -1 + 23x * -1) = 5x + 17 5 + 37x + (5 + -23x) = 5x + 17 Reorder the terms: 5 + 5 + 37x + -23x = 5x + 17 Combine like terms: 5 + 5 = 10 10 + 37x + -23x = 5x + 17 Combine like terms: 37x + -23x = 14x 10 + 14x = 5x + 17 Reorder the terms: 10 + 14x = 17 + 5x Solving 10 + 14x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 14x + -5x = 17 + 5x + -5x Combine like terms: 14x + -5x = 9x 10 + 9x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 9x = 17 + 0 10 + 9x = 17 Add '-10' to each side of the equation. 10 + -10 + 9x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 17 + -10 9x = 17 + -10 Combine like terms: 17 + -10 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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