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Simplifying 14x + -174 = 47 + x Reorder the terms: -174 + 14x = 47 + x Solving -174 + 14x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -174 + 14x + -1x = 47 + x + -1x Combine like terms: 14x + -1x = 13x -174 + 13x = 47 + x + -1x Combine like terms: x + -1x = 0 -174 + 13x = 47 + 0 -174 + 13x = 47 Add '174' to each side of the equation. -174 + 174 + 13x = 47 + 174 Combine like terms: -174 + 174 = 0 0 + 13x = 47 + 174 13x = 47 + 174 Combine like terms: 47 + 174 = 221 13x = 221 Divide each side by '13'. x = 17 Simplifying x = 17
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