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Simplifying 5x + 138 = 2x + 120 Reorder the terms: 138 + 5x = 2x + 120 Reorder the terms: 138 + 5x = 120 + 2x Solving 138 + 5x = 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. 138 + 5x + -2x = 120 + 2x + -2x Combine like terms: 5x + -2x = 3x 138 + 3x = 120 + 2x + -2x Combine like terms: 2x + -2x = 0 138 + 3x = 120 + 0 138 + 3x = 120 Add '-138' to each side of the equation. 138 + -138 + 3x = 120 + -138 Combine like terms: 138 + -138 = 0 0 + 3x = 120 + -138 3x = 120 + -138 Combine like terms: 120 + -138 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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