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Simplifying -9x + -39 = -5(x + 7) Reorder the terms: -39 + -9x = -5(x + 7) Reorder the terms: -39 + -9x = -5(7 + x) -39 + -9x = (7 * -5 + x * -5) -39 + -9x = (-35 + -5x) Solving -39 + -9x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -39 + -9x + 5x = -35 + -5x + 5x Combine like terms: -9x + 5x = -4x -39 + -4x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 -39 + -4x = -35 + 0 -39 + -4x = -35 Add '39' to each side of the equation. -39 + 39 + -4x = -35 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = -35 + 39 -4x = -35 + 39 Combine like terms: -35 + 39 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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