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Simplifying 5(-1x + -7) = 6 + -4x + 8 Reorder the terms: 5(-7 + -1x) = 6 + -4x + 8 (-7 * 5 + -1x * 5) = 6 + -4x + 8 (-35 + -5x) = 6 + -4x + 8 Reorder the terms: -35 + -5x = 6 + 8 + -4x Combine like terms: 6 + 8 = 14 -35 + -5x = 14 + -4x Solving -35 + -5x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -35 + -5x + 4x = 14 + -4x + 4x Combine like terms: -5x + 4x = -1x -35 + -1x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + -1x = 14 + 0 -35 + -1x = 14 Add '35' to each side of the equation. -35 + 35 + -1x = 14 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 14 + 35 -1x = 14 + 35 Combine like terms: 14 + 35 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49
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