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Simplifying -7(5x + 8) = -5x + 34 Reorder the terms: -7(8 + 5x) = -5x + 34 (8 * -7 + 5x * -7) = -5x + 34 (-56 + -35x) = -5x + 34 Reorder the terms: -56 + -35x = 34 + -5x Solving -56 + -35x = 34 + -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. -56 + -35x + 5x = 34 + -5x + 5x Combine like terms: -35x + 5x = -30x -56 + -30x = 34 + -5x + 5x Combine like terms: -5x + 5x = 0 -56 + -30x = 34 + 0 -56 + -30x = 34 Add '56' to each side of the equation. -56 + 56 + -30x = 34 + 56 Combine like terms: -56 + 56 = 0 0 + -30x = 34 + 56 -30x = 34 + 56 Combine like terms: 34 + 56 = 90 -30x = 90 Divide each side by '-30'. x = -3 Simplifying x = -3
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