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Simplifying 5(x + -7) = 8x + -26 Reorder the terms: 5(-7 + x) = 8x + -26 (-7 * 5 + x * 5) = 8x + -26 (-35 + 5x) = 8x + -26 Reorder the terms: -35 + 5x = -26 + 8x Solving -35 + 5x = -26 + 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 = -26 + 8x + -8x Combine like terms: 5x + -8x = -3x -35 + -3x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -3x = -26 + 0 -35 + -3x = -26 Add '35' to each side of the equation. -35 + 35 + -3x = -26 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -26 + 35 -3x = -26 + 35 Combine like terms: -26 + 35 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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