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Simplifying x + -174 = -4x + 1 Reorder the terms: -174 + x = -4x + 1 Reorder the terms: -174 + x = 1 + -4x Solving -174 + x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -174 + x + 4x = 1 + -4x + 4x Combine like terms: x + 4x = 5x -174 + 5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -174 + 5x = 1 + 0 -174 + 5x = 1 Add '174' to each side of the equation. -174 + 174 + 5x = 1 + 174 Combine like terms: -174 + 174 = 0 0 + 5x = 1 + 174 5x = 1 + 174 Combine like terms: 1 + 174 = 175 5x = 175 Divide each side by '5'. x = 35 Simplifying x = 35
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