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Simplifying 3.21(x + -2) + -2.83(x + 4) = 0.386x Reorder the terms: 3.21(-2 + x) + -2.83(x + 4) = 0.386x (-2 * 3.21 + x * 3.21) + -2.83(x + 4) = 0.386x (-6.42 + 3.21x) + -2.83(x + 4) = 0.386x Reorder the terms: -6.42 + 3.21x + -2.83(4 + x) = 0.386x -6.42 + 3.21x + (4 * -2.83 + x * -2.83) = 0.386x -6.42 + 3.21x + (-11.32 + -2.83x) = 0.386x Reorder the terms: -6.42 + -11.32 + 3.21x + -2.83x = 0.386x Combine like terms: -6.42 + -11.32 = -17.74 -17.74 + 3.21x + -2.83x = 0.386x Combine like terms: 3.21x + -2.83x = 0.38x -17.74 + 0.38x = 0.386x Solving -17.74 + 0.38x = 0.386x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.386x' to each side of the equation. -17.74 + 0.38x + -0.386x = 0.386x + -0.386x Combine like terms: 0.38x + -0.386x = -0.006x -17.74 + -0.006x = 0.386x + -0.386x Combine like terms: 0.386x + -0.386x = 0.000 -17.74 + -0.006x = 0.000 Add '17.74' to each side of the equation. -17.74 + 17.74 + -0.006x = 0.000 + 17.74 Combine like terms: -17.74 + 17.74 = 0.00 0.00 + -0.006x = 0.000 + 17.74 -0.006x = 0.000 + 17.74 Combine like terms: 0.000 + 17.74 = 17.74 -0.006x = 17.74 Divide each side by '-0.006'. x = -2956.666667 Simplifying x = -2956.666667
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