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Simplifying 5(-1x + -7) = -9 + 8x Reorder the terms: 5(-7 + -1x) = -9 + 8x (-7 * 5 + -1x * 5) = -9 + 8x (-35 + -5x) = -9 + 8x Solving -35 + -5x = -9 + 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. -35 + -5x + -8x = -9 + 8x + -8x Combine like terms: -5x + -8x = -13x -35 + -13x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -13x = -9 + 0 -35 + -13x = -9 Add '35' to each side of the equation. -35 + 35 + -13x = -9 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = -9 + 35 -13x = -9 + 35 Combine like terms: -9 + 35 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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