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Simplifying -259 = 5 + -6(6x + 8) Reorder the terms: -259 = 5 + -6(8 + 6x) -259 = 5 + (8 * -6 + 6x * -6) -259 = 5 + (-48 + -36x) Combine like terms: 5 + -48 = -43 -259 = -43 + -36x Solving -259 = -43 + -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. -259 + 36x = -43 + -36x + 36x Combine like terms: -36x + 36x = 0 -259 + 36x = -43 + 0 -259 + 36x = -43 Add '259' to each side of the equation. -259 + 259 + 36x = -43 + 259 Combine like terms: -259 + 259 = 0 0 + 36x = -43 + 259 36x = -43 + 259 Combine like terms: -43 + 259 = 216 36x = 216 Divide each side by '36'. x = 6 Simplifying x = 6
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