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Simplifying 12x + 10 = 7x + 35 Reorder the terms: 10 + 12x = 7x + 35 Reorder the terms: 10 + 12x = 35 + 7x Solving 10 + 12x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 12x + -7x = 35 + 7x + -7x Combine like terms: 12x + -7x = 5x 10 + 5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 5x = 35 + 0 10 + 5x = 35 Add '-10' to each side of the equation. 10 + -10 + 5x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 35 + -10 5x = 35 + -10 Combine like terms: 35 + -10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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