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Simplifying 5x + 21 = 2x + 6 Reorder the terms: 21 + 5x = 2x + 6 Reorder the terms: 21 + 5x = 6 + 2x Solving 21 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x 21 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 3x = 6 + 0 21 + 3x = 6 Add '-21' to each side of the equation. 21 + -21 + 3x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 6 + -21 3x = 6 + -21 Combine like terms: 6 + -21 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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