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Simplifying -2x + 5(-2x + -7) = -39 + -8x Reorder the terms: -2x + 5(-7 + -2x) = -39 + -8x -2x + (-7 * 5 + -2x * 5) = -39 + -8x -2x + (-35 + -10x) = -39 + -8x Reorder the terms: -35 + -2x + -10x = -39 + -8x Combine like terms: -2x + -10x = -12x -35 + -12x = -39 + -8x Solving -35 + -12x = -39 + -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 + -12x + 8x = -39 + -8x + 8x Combine like terms: -12x + 8x = -4x -35 + -4x = -39 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + -4x = -39 + 0 -35 + -4x = -39 Add '35' to each side of the equation. -35 + 35 + -4x = -39 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -39 + 35 -4x = -39 + 35 Combine like terms: -39 + 35 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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