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Simplifying 5x + -7 = 101 + -7x Reorder the terms: -7 + 5x = 101 + -7x Solving -7 + 5x = 101 + -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. -7 + 5x + 7x = 101 + -7x + 7x Combine like terms: 5x + 7x = 12x -7 + 12x = 101 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 12x = 101 + 0 -7 + 12x = 101 Add '7' to each side of the equation. -7 + 7 + 12x = 101 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 101 + 7 12x = 101 + 7 Combine like terms: 101 + 7 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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