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Simplifying 3x + 174 = 11x + -10 Reorder the terms: 174 + 3x = 11x + -10 Reorder the terms: 174 + 3x = -10 + 11x Solving 174 + 3x = -10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 174 + 3x + -11x = -10 + 11x + -11x Combine like terms: 3x + -11x = -8x 174 + -8x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 174 + -8x = -10 + 0 174 + -8x = -10 Add '-174' to each side of the equation. 174 + -174 + -8x = -10 + -174 Combine like terms: 174 + -174 = 0 0 + -8x = -10 + -174 -8x = -10 + -174 Combine like terms: -10 + -174 = -184 -8x = -184 Divide each side by '-8'. x = 23 Simplifying x = 23
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