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Simplifying 7x + 5 = 35 + -3x Reorder the terms: 5 + 7x = 35 + -3x Solving 5 + 7x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 7x + 3x = 35 + -3x + 3x Combine like terms: 7x + 3x = 10x 5 + 10x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 10x = 35 + 0 5 + 10x = 35 Add '-5' to each side of the equation. 5 + -5 + 10x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 35 + -5 10x = 35 + -5 Combine like terms: 35 + -5 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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