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Simplifying -5(49x + 12) = 27(-30 + -1x) Reorder the terms: -5(12 + 49x) = 27(-30 + -1x) (12 * -5 + 49x * -5) = 27(-30 + -1x) (-60 + -245x) = 27(-30 + -1x) -60 + -245x = (-30 * 27 + -1x * 27) -60 + -245x = (-810 + -27x) Solving -60 + -245x = -810 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -60 + -245x + 27x = -810 + -27x + 27x Combine like terms: -245x + 27x = -218x -60 + -218x = -810 + -27x + 27x Combine like terms: -27x + 27x = 0 -60 + -218x = -810 + 0 -60 + -218x = -810 Add '60' to each side of the equation. -60 + 60 + -218x = -810 + 60 Combine like terms: -60 + 60 = 0 0 + -218x = -810 + 60 -218x = -810 + 60 Combine like terms: -810 + 60 = -750 -218x = -750 Divide each side by '-218'. x = 3.440366972 Simplifying x = 3.440366972
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