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Simplifying 138 = 6(2x + -7) Reorder the terms: 138 = 6(-7 + 2x) 138 = (-7 * 6 + 2x * 6) 138 = (-42 + 12x) Solving 138 = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 138 + -12x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 138 + -12x = -42 + 0 138 + -12x = -42 Add '-138' to each side of the equation. 138 + -138 + -12x = -42 + -138 Combine like terms: 138 + -138 = 0 0 + -12x = -42 + -138 -12x = -42 + -138 Combine like terms: -42 + -138 = -180 -12x = -180 Divide each side by '-12'. x = 15 Simplifying x = 15
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