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Simplifying 13x + 6 = 12x + 16 Reorder the terms: 6 + 13x = 12x + 16 Reorder the terms: 6 + 13x = 16 + 12x Solving 6 + 13x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 13x + -12x = 16 + 12x + -12x Combine like terms: 13x + -12x = 1x 6 + 1x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 1x = 16 + 0 6 + 1x = 16 Add '-6' to each side of the equation. 6 + -6 + 1x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 16 + -6 1x = 16 + -6 Combine like terms: 16 + -6 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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