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Simplifying 3x + 109 = 8x + 174 Reorder the terms: 109 + 3x = 8x + 174 Reorder the terms: 109 + 3x = 174 + 8x Solving 109 + 3x = 174 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 109 + 3x + -8x = 174 + 8x + -8x Combine like terms: 3x + -8x = -5x 109 + -5x = 174 + 8x + -8x Combine like terms: 8x + -8x = 0 109 + -5x = 174 + 0 109 + -5x = 174 Add '-109' to each side of the equation. 109 + -109 + -5x = 174 + -109 Combine like terms: 109 + -109 = 0 0 + -5x = 174 + -109 -5x = 174 + -109 Combine like terms: 174 + -109 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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