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Simplifying 7x + -31 = 3x + 49 Reorder the terms: -31 + 7x = 3x + 49 Reorder the terms: -31 + 7x = 49 + 3x Solving -31 + 7x = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 7x + -3x = 49 + 3x + -3x Combine like terms: 7x + -3x = 4x -31 + 4x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 4x = 49 + 0 -31 + 4x = 49 Add '31' to each side of the equation. -31 + 31 + 4x = 49 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 49 + 31 4x = 49 + 31 Combine like terms: 49 + 31 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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