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Simplifying 30x + 138 = 24x + 120 Reorder the terms: 138 + 30x = 24x + 120 Reorder the terms: 138 + 30x = 120 + 24x Solving 138 + 30x = 120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 138 + 30x + -24x = 120 + 24x + -24x Combine like terms: 30x + -24x = 6x 138 + 6x = 120 + 24x + -24x Combine like terms: 24x + -24x = 0 138 + 6x = 120 + 0 138 + 6x = 120 Add '-138' to each side of the equation. 138 + -138 + 6x = 120 + -138 Combine like terms: 138 + -138 = 0 0 + 6x = 120 + -138 6x = 120 + -138 Combine like terms: 120 + -138 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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