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Simplifying -12(3 + -2x) = 44(-5x + 7) (3 * -12 + -2x * -12) = 44(-5x + 7) (-36 + 24x) = 44(-5x + 7) Reorder the terms: -36 + 24x = 44(7 + -5x) -36 + 24x = (7 * 44 + -5x * 44) -36 + 24x = (308 + -220x) Solving -36 + 24x = 308 + -220x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '220x' to each side of the equation. -36 + 24x + 220x = 308 + -220x + 220x Combine like terms: 24x + 220x = 244x -36 + 244x = 308 + -220x + 220x Combine like terms: -220x + 220x = 0 -36 + 244x = 308 + 0 -36 + 244x = 308 Add '36' to each side of the equation. -36 + 36 + 244x = 308 + 36 Combine like terms: -36 + 36 = 0 0 + 244x = 308 + 36 244x = 308 + 36 Combine like terms: 308 + 36 = 344 244x = 344 Divide each side by '244'. x = 1.409836066 Simplifying x = 1.409836066
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