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Simplifying -6(x + 7) = -17 + -1x Reorder the terms: -6(7 + x) = -17 + -1x (7 * -6 + x * -6) = -17 + -1x (-42 + -6x) = -17 + -1x Solving -42 + -6x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -42 + -6x + x = -17 + -1x + x Combine like terms: -6x + x = -5x -42 + -5x = -17 + -1x + x Combine like terms: -1x + x = 0 -42 + -5x = -17 + 0 -42 + -5x = -17 Add '42' to each side of the equation. -42 + 42 + -5x = -17 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = -17 + 42 -5x = -17 + 42 Combine like terms: -17 + 42 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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