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Simplifying 9(5x + 1) = 4(x + -8) Reorder the terms: 9(1 + 5x) = 4(x + -8) (1 * 9 + 5x * 9) = 4(x + -8) (9 + 45x) = 4(x + -8) Reorder the terms: 9 + 45x = 4(-8 + x) 9 + 45x = (-8 * 4 + x * 4) 9 + 45x = (-32 + 4x) Solving 9 + 45x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 45x + -4x = -32 + 4x + -4x Combine like terms: 45x + -4x = 41x 9 + 41x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 41x = -32 + 0 9 + 41x = -32 Add '-9' to each side of the equation. 9 + -9 + 41x = -32 + -9 Combine like terms: 9 + -9 = 0 0 + 41x = -32 + -9 41x = -32 + -9 Combine like terms: -32 + -9 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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