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Simplifying 12x + 3 = 10x + 5 Reorder the terms: 3 + 12x = 10x + 5 Reorder the terms: 3 + 12x = 5 + 10x Solving 3 + 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. 3 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x 3 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 2x = 5 + 0 3 + 2x = 5 Add '-3' to each side of the equation. 3 + -3 + 2x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 5 + -3 2x = 5 + -3 Combine like terms: 5 + -3 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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