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Simplifying -8x + -7(5x + 7) = -7x + 23 Reorder the terms: -8x + -7(7 + 5x) = -7x + 23 -8x + (7 * -7 + 5x * -7) = -7x + 23 -8x + (-49 + -35x) = -7x + 23 Reorder the terms: -49 + -8x + -35x = -7x + 23 Combine like terms: -8x + -35x = -43x -49 + -43x = -7x + 23 Reorder the terms: -49 + -43x = 23 + -7x Solving -49 + -43x = 23 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + -43x + 7x = 23 + -7x + 7x Combine like terms: -43x + 7x = -36x -49 + -36x = 23 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + -36x = 23 + 0 -49 + -36x = 23 Add '49' to each side of the equation. -49 + 49 + -36x = 23 + 49 Combine like terms: -49 + 49 = 0 0 + -36x = 23 + 49 -36x = 23 + 49 Combine like terms: 23 + 49 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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