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Simplifying 5x + -174 = -7x + 90 Reorder the terms: -174 + 5x = -7x + 90 Reorder the terms: -174 + 5x = 90 + -7x Solving -174 + 5x = 90 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -174 + 5x + 7x = 90 + -7x + 7x Combine like terms: 5x + 7x = 12x -174 + 12x = 90 + -7x + 7x Combine like terms: -7x + 7x = 0 -174 + 12x = 90 + 0 -174 + 12x = 90 Add '174' to each side of the equation. -174 + 174 + 12x = 90 + 174 Combine like terms: -174 + 174 = 0 0 + 12x = 90 + 174 12x = 90 + 174 Combine like terms: 90 + 174 = 264 12x = 264 Divide each side by '12'. x = 22 Simplifying x = 22
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