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Simplifying 6x + 39 = 10 + -40x + 75 Reorder the terms: 39 + 6x = 10 + -40x + 75 Reorder the terms: 39 + 6x = 10 + 75 + -40x Combine like terms: 10 + 75 = 85 39 + 6x = 85 + -40x Solving 39 + 6x = 85 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 39 + 6x + 40x = 85 + -40x + 40x Combine like terms: 6x + 40x = 46x 39 + 46x = 85 + -40x + 40x Combine like terms: -40x + 40x = 0 39 + 46x = 85 + 0 39 + 46x = 85 Add '-39' to each side of the equation. 39 + -39 + 46x = 85 + -39 Combine like terms: 39 + -39 = 0 0 + 46x = 85 + -39 46x = 85 + -39 Combine like terms: 85 + -39 = 46 46x = 46 Divide each side by '46'. x = 1 Simplifying x = 1
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