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Simplifying 7x + -5 + 3x = 5x + 35 Reorder the terms: -5 + 7x + 3x = 5x + 35 Combine like terms: 7x + 3x = 10x -5 + 10x = 5x + 35 Reorder the terms: -5 + 10x = 35 + 5x Solving -5 + 10x = 35 + 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. -5 + 10x + -5x = 35 + 5x + -5x Combine like terms: 10x + -5x = 5x -5 + 5x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 5x = 35 + 0 -5 + 5x = 35 Add '5' to each side of the equation. -5 + 5 + 5x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 35 + 5 5x = 35 + 5 Combine like terms: 35 + 5 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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