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Simplifying -5.6(3x + 5) + -1.1(4x + -6) = 0 Reorder the terms: -5.6(5 + 3x) + -1.1(4x + -6) = 0 (5 * -5.6 + 3x * -5.6) + -1.1(4x + -6) = 0 (-28 + -16.8x) + -1.1(4x + -6) = 0 Reorder the terms: -28 + -16.8x + -1.1(-6 + 4x) = 0 -28 + -16.8x + (-6 * -1.1 + 4x * -1.1) = 0 -28 + -16.8x + (6.6 + -4.4x) = 0 Reorder the terms: -28 + 6.6 + -16.8x + -4.4x = 0 Combine like terms: -28 + 6.6 = -21.4 -21.4 + -16.8x + -4.4x = 0 Combine like terms: -16.8x + -4.4x = -21.2x -21.4 + -21.2x = 0 Solving -21.4 + -21.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21.4' to each side of the equation. -21.4 + 21.4 + -21.2x = 0 + 21.4 Combine like terms: -21.4 + 21.4 = 0.0 0.0 + -21.2x = 0 + 21.4 -21.2x = 0 + 21.4 Combine like terms: 0 + 21.4 = 21.4 -21.2x = 21.4 Divide each side by '-21.2'. x = -1.009433962 Simplifying x = -1.009433962
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