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Simplifying 7x + -31 = 4x + 5 Reorder the terms: -31 + 7x = 4x + 5 Reorder the terms: -31 + 7x = 5 + 4x Solving -31 + 7x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 7x + -4x = 5 + 4x + -4x Combine like terms: 7x + -4x = 3x -31 + 3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 3x = 5 + 0 -31 + 3x = 5 Add '31' to each side of the equation. -31 + 31 + 3x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 3x = 5 + 31 3x = 5 + 31 Combine like terms: 5 + 31 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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