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Simplifying 3x + 5 = 65 + -7x Reorder the terms: 5 + 3x = 65 + -7x Solving 5 + 3x = 65 + -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. 5 + 3x + 7x = 65 + -7x + 7x Combine like terms: 3x + 7x = 10x 5 + 10x = 65 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 10x = 65 + 0 5 + 10x = 65 Add '-5' to each side of the equation. 5 + -5 + 10x = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 65 + -5 10x = 65 + -5 Combine like terms: 65 + -5 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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