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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 = -50x -49 + -50x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -49 + -50x = 23 + 0 -49 + -50x = 23 Add '49' to each side of the equation. -49 + 49 + -50x = 23 + 49 Combine like terms: -49 + 49 = 0 0 + -50x = 23 + 49 -50x = 23 + 49 Combine like terms: 23 + 49 = 72 -50x = 72 Divide each side by '-50'. x = -1.44 Simplifying x = -1.44
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