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Simplifying 7[6 + 8(6 + -1x) + 5] = 9 + -5x 7[6 + (6 * 8 + -1x * 8) + 5] = 9 + -5x 7[6 + (48 + -8x) + 5] = 9 + -5x Reorder the terms: 7[6 + 48 + 5 + -8x] = 9 + -5x Combine like terms: 6 + 48 = 54 7[54 + 5 + -8x] = 9 + -5x Combine like terms: 54 + 5 = 59 7[59 + -8x] = 9 + -5x [59 * 7 + -8x * 7] = 9 + -5x [413 + -56x] = 9 + -5x Solving 413 + -56x = 9 + -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. 413 + -56x + 5x = 9 + -5x + 5x Combine like terms: -56x + 5x = -51x 413 + -51x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 413 + -51x = 9 + 0 413 + -51x = 9 Add '-413' to each side of the equation. 413 + -413 + -51x = 9 + -413 Combine like terms: 413 + -413 = 0 0 + -51x = 9 + -413 -51x = 9 + -413 Combine like terms: 9 + -413 = -404 -51x = -404 Divide each side by '-51'. x = 7.921568627 Simplifying x = 7.921568627
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