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Simplifying 35.79x + -12.24 = (8.61 + -15.91x)(-4) Reorder the terms: -12.24 + 35.79x = (8.61 + -15.91x)(-4) Reorder the terms for easier multiplication: -12.24 + 35.79x = -4(8.61 + -15.91x) -12.24 + 35.79x = (8.61 * -4 + -15.91x * -4) -12.24 + 35.79x = (-34.44 + 63.64x) Solving -12.24 + 35.79x = -34.44 + 63.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63.64x' to each side of the equation. -12.24 + 35.79x + -63.64x = -34.44 + 63.64x + -63.64x Combine like terms: 35.79x + -63.64x = -27.85x -12.24 + -27.85x = -34.44 + 63.64x + -63.64x Combine like terms: 63.64x + -63.64x = 0.00 -12.24 + -27.85x = -34.44 + 0.00 -12.24 + -27.85x = -34.44 Add '12.24' to each side of the equation. -12.24 + 12.24 + -27.85x = -34.44 + 12.24 Combine like terms: -12.24 + 12.24 = 0.00 0.00 + -27.85x = -34.44 + 12.24 -27.85x = -34.44 + 12.24 Combine like terms: -34.44 + 12.24 = -22.2 -27.85x = -22.2 Divide each side by '-27.85'. x = 0.7971274686 Simplifying x = 0.7971274686
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