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Simplifying -5x + 30 = 100 + -7x Reorder the terms: 30 + -5x = 100 + -7x Solving 30 + -5x = 100 + -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. 30 + -5x + 7x = 100 + -7x + 7x Combine like terms: -5x + 7x = 2x 30 + 2x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + 2x = 100 + 0 30 + 2x = 100 Add '-30' to each side of the equation. 30 + -30 + 2x = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 100 + -30 2x = 100 + -30 Combine like terms: 100 + -30 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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