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Simplifying 31 = 3x + 1 + 4x + -5 Reorder the terms: 31 = 1 + -5 + 3x + 4x Combine like terms: 1 + -5 = -4 31 = -4 + 3x + 4x Combine like terms: 3x + 4x = 7x 31 = -4 + 7x Solving 31 = -4 + 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 + -7x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -7x = -4 + 0 31 + -7x = -4 Add '-31' to each side of the equation. 31 + -31 + -7x = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = -4 + -31 -7x = -4 + -31 Combine like terms: -4 + -31 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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