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Simplifying -0.9x + -2(1.1 + 4.4x) = -6.2 + -33.7x -0.9x + (1.1 * -2 + 4.4x * -2) = -6.2 + -33.7x -0.9x + (-2.2 + -8.8x) = -6.2 + -33.7x Reorder the terms: -2.2 + -0.9x + -8.8x = -6.2 + -33.7x Combine like terms: -0.9x + -8.8x = -9.7x -2.2 + -9.7x = -6.2 + -33.7x Solving -2.2 + -9.7x = -6.2 + -33.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33.7x' to each side of the equation. -2.2 + -9.7x + 33.7x = -6.2 + -33.7x + 33.7x Combine like terms: -9.7x + 33.7x = 24x -2.2 + 24x = -6.2 + -33.7x + 33.7x Combine like terms: -33.7x + 33.7x = 0.0 -2.2 + 24x = -6.2 + 0.0 -2.2 + 24x = -6.2 Add '2.2' to each side of the equation. -2.2 + 2.2 + 24x = -6.2 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 24x = -6.2 + 2.2 24x = -6.2 + 2.2 Combine like terms: -6.2 + 2.2 = -4 24x = -4 Divide each side by '24'. x = -0.1666666667 Simplifying x = -0.1666666667
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