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Simplifying 5x + 21 = 3x + 13 Reorder the terms: 21 + 5x = 3x + 13 Reorder the terms: 21 + 5x = 13 + 3x Solving 21 + 5x = 13 + 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. 21 + 5x + -3x = 13 + 3x + -3x Combine like terms: 5x + -3x = 2x 21 + 2x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 2x = 13 + 0 21 + 2x = 13 Add '-21' to each side of the equation. 21 + -21 + 2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 13 + -21 2x = 13 + -21 Combine like terms: 13 + -21 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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