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Simplifying 5x + 31 = 7x + 11 Reorder the terms: 31 + 5x = 7x + 11 Reorder the terms: 31 + 5x = 11 + 7x Solving 31 + 5x = 11 + 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. 31 + 5x + -7x = 11 + 7x + -7x Combine like terms: 5x + -7x = -2x 31 + -2x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -2x = 11 + 0 31 + -2x = 11 Add '-31' to each side of the equation. 31 + -31 + -2x = 11 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 11 + -31 -2x = 11 + -31 Combine like terms: 11 + -31 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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