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Simplifying 10x + -35 = 8x + 7 Reorder the terms: -35 + 10x = 8x + 7 Reorder the terms: -35 + 10x = 7 + 8x Solving -35 + 10x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 10x + -8x = 7 + 8x + -8x Combine like terms: 10x + -8x = 2x -35 + 2x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 2x = 7 + 0 -35 + 2x = 7 Add '35' to each side of the equation. -35 + 35 + 2x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 7 + 35 2x = 7 + 35 Combine like terms: 7 + 35 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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