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Simplifying 7x + 18 = 5x + 42 Reorder the terms: 18 + 7x = 5x + 42 Reorder the terms: 18 + 7x = 42 + 5x Solving 18 + 7x = 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. 18 + 7x + -5x = 42 + 5x + -5x Combine like terms: 7x + -5x = 2x 18 + 2x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 2x = 42 + 0 18 + 2x = 42 Add '-18' to each side of the equation. 18 + -18 + 2x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 42 + -18 2x = 42 + -18 Combine like terms: 42 + -18 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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