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Simplifying 2x + 21 = -3x + 76 Reorder the terms: 21 + 2x = -3x + 76 Reorder the terms: 21 + 2x = 76 + -3x Solving 21 + 2x = 76 + -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 + 2x + 3x = 76 + -3x + 3x Combine like terms: 2x + 3x = 5x 21 + 5x = 76 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 5x = 76 + 0 21 + 5x = 76 Add '-21' to each side of the equation. 21 + -21 + 5x = 76 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 76 + -21 5x = 76 + -21 Combine like terms: 76 + -21 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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