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Simplifying 5x + 10 = 174 + -9x Reorder the terms: 10 + 5x = 174 + -9x Solving 10 + 5x = 174 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + 5x + 9x = 174 + -9x + 9x Combine like terms: 5x + 9x = 14x 10 + 14x = 174 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 14x = 174 + 0 10 + 14x = 174 Add '-10' to each side of the equation. 10 + -10 + 14x = 174 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 174 + -10 14x = 174 + -10 Combine like terms: 174 + -10 = 164 14x = 164 Divide each side by '14'. x = 11.71428571 Simplifying x = 11.71428571
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