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Simplifying 12x + 21 = 10x + 16 Reorder the terms: 21 + 12x = 10x + 16 Reorder the terms: 21 + 12x = 16 + 10x Solving 21 + 12x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 21 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 2x = 16 + 0 21 + 2x = 16 Add '-21' to each side of the equation. 21 + -21 + 2x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 16 + -21 2x = 16 + -21 Combine like terms: 16 + -21 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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