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Simplifying 6x + 18 = 120 + -45x Reorder the terms: 18 + 6x = 120 + -45x Solving 18 + 6x = 120 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 18 + 6x + 45x = 120 + -45x + 45x Combine like terms: 6x + 45x = 51x 18 + 51x = 120 + -45x + 45x Combine like terms: -45x + 45x = 0 18 + 51x = 120 + 0 18 + 51x = 120 Add '-18' to each side of the equation. 18 + -18 + 51x = 120 + -18 Combine like terms: 18 + -18 = 0 0 + 51x = 120 + -18 51x = 120 + -18 Combine like terms: 120 + -18 = 102 51x = 102 Divide each side by '51'. x = 2 Simplifying x = 2
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