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Simplifying 9x + 13 = 2x + 174 Reorder the terms: 13 + 9x = 2x + 174 Reorder the terms: 13 + 9x = 174 + 2x Solving 13 + 9x = 174 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 9x + -2x = 174 + 2x + -2x Combine like terms: 9x + -2x = 7x 13 + 7x = 174 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 7x = 174 + 0 13 + 7x = 174 Add '-13' to each side of the equation. 13 + -13 + 7x = 174 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 174 + -13 7x = 174 + -13 Combine like terms: 174 + -13 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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