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Simplifying 5x + 138 = 3x + 120 Reorder the terms: 138 + 5x = 3x + 120 Reorder the terms: 138 + 5x = 120 + 3x Solving 138 + 5x = 120 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 138 + 5x + -3x = 120 + 3x + -3x Combine like terms: 5x + -3x = 2x 138 + 2x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 138 + 2x = 120 + 0 138 + 2x = 120 Add '-138' to each side of the equation. 138 + -138 + 2x = 120 + -138 Combine like terms: 138 + -138 = 0 0 + 2x = 120 + -138 2x = 120 + -138 Combine like terms: 120 + -138 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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