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Simplifying -100 + 7x = 50 + 2x Solving -100 + 7x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -100 + 7x + -2x = 50 + 2x + -2x Combine like terms: 7x + -2x = 5x -100 + 5x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 -100 + 5x = 50 + 0 -100 + 5x = 50 Add '100' to each side of the equation. -100 + 100 + 5x = 50 + 100 Combine like terms: -100 + 100 = 0 0 + 5x = 50 + 100 5x = 50 + 100 Combine like terms: 50 + 100 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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