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Simplifying 138 = (4x + -5) + (5x + -1) Reorder the terms: 138 = (-5 + 4x) + (5x + -1) Remove parenthesis around (-5 + 4x) 138 = -5 + 4x + (5x + -1) Reorder the terms: 138 = -5 + 4x + (-1 + 5x) Remove parenthesis around (-1 + 5x) 138 = -5 + 4x + -1 + 5x Reorder the terms: 138 = -5 + -1 + 4x + 5x Combine like terms: -5 + -1 = -6 138 = -6 + 4x + 5x Combine like terms: 4x + 5x = 9x 138 = -6 + 9x Solving 138 = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 138 + -9x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 138 + -9x = -6 + 0 138 + -9x = -6 Add '-138' to each side of the equation. 138 + -138 + -9x = -6 + -138 Combine like terms: 138 + -138 = 0 0 + -9x = -6 + -138 -9x = -6 + -138 Combine like terms: -6 + -138 = -144 -9x = -144 Divide each side by '-9'. x = 16 Simplifying x = 16
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