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Simplifying 6(7 + 8x) + -7(x + -1) = -74 (7 * 6 + 8x * 6) + -7(x + -1) = -74 (42 + 48x) + -7(x + -1) = -74 Reorder the terms: 42 + 48x + -7(-1 + x) = -74 42 + 48x + (-1 * -7 + x * -7) = -74 42 + 48x + (7 + -7x) = -74 Reorder the terms: 42 + 7 + 48x + -7x = -74 Combine like terms: 42 + 7 = 49 49 + 48x + -7x = -74 Combine like terms: 48x + -7x = 41x 49 + 41x = -74 Solving 49 + 41x = -74 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 + 41x = -74 + -49 Combine like terms: 49 + -49 = 0 0 + 41x = -74 + -49 41x = -74 + -49 Combine like terms: -74 + -49 = -123 41x = -123 Divide each side by '41'. x = -3 Simplifying x = -3
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