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Simplifying 82 = -4x + 6(4x + -23) Reorder the terms: 82 = -4x + 6(-23 + 4x) 82 = -4x + (-23 * 6 + 4x * 6) 82 = -4x + (-138 + 24x) Reorder the terms: 82 = -138 + -4x + 24x Combine like terms: -4x + 24x = 20x 82 = -138 + 20x Solving 82 = -138 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 82 + -20x = -138 + 20x + -20x Combine like terms: 20x + -20x = 0 82 + -20x = -138 + 0 82 + -20x = -138 Add '-82' to each side of the equation. 82 + -82 + -20x = -138 + -82 Combine like terms: 82 + -82 = 0 0 + -20x = -138 + -82 -20x = -138 + -82 Combine like terms: -138 + -82 = -220 -20x = -220 Divide each side by '-20'. x = 11 Simplifying x = 11
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