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Simplifying 12x + 6 = 10x + 16 Reorder the terms: 6 + 12x = 10x + 16 Reorder the terms: 6 + 12x = 16 + 10x Solving 6 + 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. 6 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = 16 + 0 6 + 2x = 16 Add '-6' to each side of the equation. 6 + -6 + 2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 16 + -6 2x = 16 + -6 Combine like terms: 16 + -6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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