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Simplifying 3(46 + -2x) + x = 38 (46 * 3 + -2x * 3) + x = 38 (138 + -6x) + x = 38 Combine like terms: -6x + x = -5x 138 + -5x = 38 Solving 138 + -5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + -5x = 38 + -138 Combine like terms: 138 + -138 = 0 0 + -5x = 38 + -138 -5x = 38 + -138 Combine like terms: 38 + -138 = -100 -5x = -100 Divide each side by '-5'. x = 20 Simplifying x = 20
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