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Simplifying 20(-6x + -21) = 17(x + 2) Reorder the terms: 20(-21 + -6x) = 17(x + 2) (-21 * 20 + -6x * 20) = 17(x + 2) (-420 + -120x) = 17(x + 2) Reorder the terms: -420 + -120x = 17(2 + x) -420 + -120x = (2 * 17 + x * 17) -420 + -120x = (34 + 17x) Solving -420 + -120x = 34 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -420 + -120x + -17x = 34 + 17x + -17x Combine like terms: -120x + -17x = -137x -420 + -137x = 34 + 17x + -17x Combine like terms: 17x + -17x = 0 -420 + -137x = 34 + 0 -420 + -137x = 34 Add '420' to each side of the equation. -420 + 420 + -137x = 34 + 420 Combine like terms: -420 + 420 = 0 0 + -137x = 34 + 420 -137x = 34 + 420 Combine like terms: 34 + 420 = 454 -137x = 454 Divide each side by '-137'. x = -3.313868613 Simplifying x = -3.313868613
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