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Simplifying 8(3x + 2 + -52x + -1) = 8 + -1(9 + -3x) Reorder the terms: 8(2 + -1 + 3x + -52x) = 8 + -1(9 + -3x) Combine like terms: 2 + -1 = 1 8(1 + 3x + -52x) = 8 + -1(9 + -3x) Combine like terms: 3x + -52x = -49x 8(1 + -49x) = 8 + -1(9 + -3x) (1 * 8 + -49x * 8) = 8 + -1(9 + -3x) (8 + -392x) = 8 + -1(9 + -3x) 8 + -392x = 8 + (9 * -1 + -3x * -1) 8 + -392x = 8 + (-9 + 3x) Combine like terms: 8 + -9 = -1 8 + -392x = -1 + 3x Solving 8 + -392x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -392x + -3x = -1 + 3x + -3x Combine like terms: -392x + -3x = -395x 8 + -395x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -395x = -1 + 0 8 + -395x = -1 Add '-8' to each side of the equation. 8 + -8 + -395x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -395x = -1 + -8 -395x = -1 + -8 Combine like terms: -1 + -8 = -9 -395x = -9 Divide each side by '-395'. x = 0.02278481013 Simplifying x = 0.02278481013
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