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Simplifying -6(x + 17) = 7 + 8x Reorder the terms: -6(17 + x) = 7 + 8x (17 * -6 + x * -6) = 7 + 8x (-102 + -6x) = 7 + 8x Solving -102 + -6x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -102 + -6x + -8x = 7 + 8x + -8x Combine like terms: -6x + -8x = -14x -102 + -14x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -102 + -14x = 7 + 0 -102 + -14x = 7 Add '102' to each side of the equation. -102 + 102 + -14x = 7 + 102 Combine like terms: -102 + 102 = 0 0 + -14x = 7 + 102 -14x = 7 + 102 Combine like terms: 7 + 102 = 109 -14x = 109 Divide each side by '-14'. x = -7.785714286 Simplifying x = -7.785714286
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