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Simplifying 12x + 7 = 5x + 42 Reorder the terms: 7 + 12x = 5x + 42 Reorder the terms: 7 + 12x = 42 + 5x Solving 7 + 12x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 12x + -5x = 42 + 5x + -5x Combine like terms: 12x + -5x = 7x 7 + 7x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 7x = 42 + 0 7 + 7x = 42 Add '-7' to each side of the equation. 7 + -7 + 7x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 42 + -7 7x = 42 + -7 Combine like terms: 42 + -7 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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