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Simplifying 13 + -7x = 174 + -35x Solving 13 + -7x = 174 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 13 + -7x + 35x = 174 + -35x + 35x Combine like terms: -7x + 35x = 28x 13 + 28x = 174 + -35x + 35x Combine like terms: -35x + 35x = 0 13 + 28x = 174 + 0 13 + 28x = 174 Add '-13' to each side of the equation. 13 + -13 + 28x = 174 + -13 Combine like terms: 13 + -13 = 0 0 + 28x = 174 + -13 28x = 174 + -13 Combine like terms: 174 + -13 = 161 28x = 161 Divide each side by '28'. x = 5.75 Simplifying x = 5.75
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