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Simplifying -7x + 5(-2x + -5) = -34 + -8x Reorder the terms: -7x + 5(-5 + -2x) = -34 + -8x -7x + (-5 * 5 + -2x * 5) = -34 + -8x -7x + (-25 + -10x) = -34 + -8x Reorder the terms: -25 + -7x + -10x = -34 + -8x Combine like terms: -7x + -10x = -17x -25 + -17x = -34 + -8x Solving -25 + -17x = -34 + -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. -25 + -17x + 8x = -34 + -8x + 8x Combine like terms: -17x + 8x = -9x -25 + -9x = -34 + -8x + 8x Combine like terms: -8x + 8x = 0 -25 + -9x = -34 + 0 -25 + -9x = -34 Add '25' to each side of the equation. -25 + 25 + -9x = -34 + 25 Combine like terms: -25 + 25 = 0 0 + -9x = -34 + 25 -9x = -34 + 25 Combine like terms: -34 + 25 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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