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Simplifying 2x + 21 = -5x + 84 Reorder the terms: 21 + 2x = -5x + 84 Reorder the terms: 21 + 2x = 84 + -5x Solving 21 + 2x = 84 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 2x + 5x = 84 + -5x + 5x Combine like terms: 2x + 5x = 7x 21 + 7x = 84 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 7x = 84 + 0 21 + 7x = 84 Add '-21' to each side of the equation. 21 + -21 + 7x = 84 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 84 + -21 7x = 84 + -21 Combine like terms: 84 + -21 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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