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Simplifying 27x + 10 = 31x + 6 Reorder the terms: 10 + 27x = 31x + 6 Reorder the terms: 10 + 27x = 6 + 31x Solving 10 + 27x = 6 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 10 + 27x + -31x = 6 + 31x + -31x Combine like terms: 27x + -31x = -4x 10 + -4x = 6 + 31x + -31x Combine like terms: 31x + -31x = 0 10 + -4x = 6 + 0 10 + -4x = 6 Add '-10' to each side of the equation. 10 + -10 + -4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6 + -10 -4x = 6 + -10 Combine like terms: 6 + -10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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