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Simplifying 7x + 55 = 2x + 120 Reorder the terms: 55 + 7x = 2x + 120 Reorder the terms: 55 + 7x = 120 + 2x Solving 55 + 7x = 120 + 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. 55 + 7x + -2x = 120 + 2x + -2x Combine like terms: 7x + -2x = 5x 55 + 5x = 120 + 2x + -2x Combine like terms: 2x + -2x = 0 55 + 5x = 120 + 0 55 + 5x = 120 Add '-55' to each side of the equation. 55 + -55 + 5x = 120 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = 120 + -55 5x = 120 + -55 Combine like terms: 120 + -55 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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