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Simplifying -138 = -6(6x + -7) Reorder the terms: -138 = -6(-7 + 6x) -138 = (-7 * -6 + 6x * -6) -138 = (42 + -36x) Solving -138 = 42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -138 + 36x = 42 + -36x + 36x Combine like terms: -36x + 36x = 0 -138 + 36x = 42 + 0 -138 + 36x = 42 Add '138' to each side of the equation. -138 + 138 + 36x = 42 + 138 Combine like terms: -138 + 138 = 0 0 + 36x = 42 + 138 36x = 42 + 138 Combine like terms: 42 + 138 = 180 36x = 180 Divide each side by '36'. x = 5 Simplifying x = 5
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