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Simplifying 12x + 1 = 10x + 5 Reorder the terms: 1 + 12x = 10x + 5 Reorder the terms: 1 + 12x = 5 + 10x Solving 1 + 12x = 5 + 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. 1 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x 1 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 2x = 5 + 0 1 + 2x = 5 Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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