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Simplifying 7x + 42 = 5x + 66 Reorder the terms: 42 + 7x = 5x + 66 Reorder the terms: 42 + 7x = 66 + 5x Solving 42 + 7x = 66 + 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. 42 + 7x + -5x = 66 + 5x + -5x Combine like terms: 7x + -5x = 2x 42 + 2x = 66 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 2x = 66 + 0 42 + 2x = 66 Add '-42' to each side of the equation. 42 + -42 + 2x = 66 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 66 + -42 2x = 66 + -42 Combine like terms: 66 + -42 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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