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Simplifying -3(x + 1) + 20(5x + 10) = 8 Reorder the terms: -3(1 + x) + 20(5x + 10) = 8 (1 * -3 + x * -3) + 20(5x + 10) = 8 (-3 + -3x) + 20(5x + 10) = 8 Reorder the terms: -3 + -3x + 20(10 + 5x) = 8 -3 + -3x + (10 * 20 + 5x * 20) = 8 -3 + -3x + (200 + 100x) = 8 Reorder the terms: -3 + 200 + -3x + 100x = 8 Combine like terms: -3 + 200 = 197 197 + -3x + 100x = 8 Combine like terms: -3x + 100x = 97x 197 + 97x = 8 Solving 197 + 97x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-197' to each side of the equation. 197 + -197 + 97x = 8 + -197 Combine like terms: 197 + -197 = 0 0 + 97x = 8 + -197 97x = 8 + -197 Combine like terms: 8 + -197 = -189 97x = -189 Divide each side by '97'. x = -1.948453608 Simplifying x = -1.948453608
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