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Simplifying 3x + 15 = 75 + -7x Reorder the terms: 15 + 3x = 75 + -7x Solving 15 + 3x = 75 + -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. 15 + 3x + 7x = 75 + -7x + 7x Combine like terms: 3x + 7x = 10x 15 + 10x = 75 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 10x = 75 + 0 15 + 10x = 75 Add '-15' to each side of the equation. 15 + -15 + 10x = 75 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 75 + -15 10x = 75 + -15 Combine like terms: 75 + -15 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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