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Simplifying 7x + -175 = 5x + -105 Reorder the terms: -175 + 7x = 5x + -105 Reorder the terms: -175 + 7x = -105 + 5x Solving -175 + 7x = -105 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -175 + 7x + -5x = -105 + 5x + -5x Combine like terms: 7x + -5x = 2x -175 + 2x = -105 + 5x + -5x Combine like terms: 5x + -5x = 0 -175 + 2x = -105 + 0 -175 + 2x = -105 Add '175' to each side of the equation. -175 + 175 + 2x = -105 + 175 Combine like terms: -175 + 175 = 0 0 + 2x = -105 + 175 2x = -105 + 175 Combine like terms: -105 + 175 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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