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Simplifying 5x + 21 = 4x + 20 Reorder the terms: 21 + 5x = 4x + 20 Reorder the terms: 21 + 5x = 20 + 4x Solving 21 + 5x = 20 + 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 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x 21 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 1x = 20 + 0 21 + 1x = 20 Add '-21' to each side of the equation. 21 + -21 + 1x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 20 + -21 1x = 20 + -21 Combine like terms: 20 + -21 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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