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Simplifying 7(5x + -7) + 8x = 0 Reorder the terms: 7(-7 + 5x) + 8x = 0 (-7 * 7 + 5x * 7) + 8x = 0 (-49 + 35x) + 8x = 0 Combine like terms: 35x + 8x = 43x -49 + 43x = 0 Solving -49 + 43x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 43x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 43x = 0 + 49 43x = 0 + 49 Combine like terms: 0 + 49 = 49 43x = 49 Divide each side by '43'. x = 1.139534884 Simplifying x = 1.139534884
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