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Simplifying 7x + 18 = 2x + 78 Reorder the terms: 18 + 7x = 2x + 78 Reorder the terms: 18 + 7x = 78 + 2x Solving 18 + 7x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 7x + -2x = 78 + 2x + -2x Combine like terms: 7x + -2x = 5x 18 + 5x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 5x = 78 + 0 18 + 5x = 78 Add '-18' to each side of the equation. 18 + -18 + 5x = 78 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 78 + -18 5x = 78 + -18 Combine like terms: 78 + -18 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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