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Simplifying x + 21 = -4x + 31 Reorder the terms: 21 + x = -4x + 31 Reorder the terms: 21 + x = 31 + -4x Solving 21 + x = 31 + -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. 21 + x + 4x = 31 + -4x + 4x Combine like terms: x + 4x = 5x 21 + 5x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 5x = 31 + 0 21 + 5x = 31 Add '-21' to each side of the equation. 21 + -21 + 5x = 31 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 31 + -21 5x = 31 + -21 Combine like terms: 31 + -21 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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