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Simplifying 8 + 7(8x + 7) = 6 + 5x Reorder the terms: 8 + 7(7 + 8x) = 6 + 5x 8 + (7 * 7 + 8x * 7) = 6 + 5x 8 + (49 + 56x) = 6 + 5x Combine like terms: 8 + 49 = 57 57 + 56x = 6 + 5x Solving 57 + 56x = 6 + 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. 57 + 56x + -5x = 6 + 5x + -5x Combine like terms: 56x + -5x = 51x 57 + 51x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 57 + 51x = 6 + 0 57 + 51x = 6 Add '-57' to each side of the equation. 57 + -57 + 51x = 6 + -57 Combine like terms: 57 + -57 = 0 0 + 51x = 6 + -57 51x = 6 + -57 Combine like terms: 6 + -57 = -51 51x = -51 Divide each side by '51'. x = -1 Simplifying x = -1
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