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Simplifying 6(x + -7) = -17 + 6 Reorder the terms: 6(-7 + x) = -17 + 6 (-7 * 6 + x * 6) = -17 + 6 (-42 + 6x) = -17 + 6 Combine like terms: -17 + 6 = -11 -42 + 6x = -11 Solving -42 + 6x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6x = -11 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -11 + 42 6x = -11 + 42 Combine like terms: -11 + 42 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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