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Simplifying -5.6(3x + 6) + -2.7(2x + -5) = 0 Reorder the terms: -5.6(6 + 3x) + -2.7(2x + -5) = 0 (6 * -5.6 + 3x * -5.6) + -2.7(2x + -5) = 0 (-33.6 + -16.8x) + -2.7(2x + -5) = 0 Reorder the terms: -33.6 + -16.8x + -2.7(-5 + 2x) = 0 -33.6 + -16.8x + (-5 * -2.7 + 2x * -2.7) = 0 -33.6 + -16.8x + (13.5 + -5.4x) = 0 Reorder the terms: -33.6 + 13.5 + -16.8x + -5.4x = 0 Combine like terms: -33.6 + 13.5 = -20.1 -20.1 + -16.8x + -5.4x = 0 Combine like terms: -16.8x + -5.4x = -22.2x -20.1 + -22.2x = 0 Solving -20.1 + -22.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20.1' to each side of the equation. -20.1 + 20.1 + -22.2x = 0 + 20.1 Combine like terms: -20.1 + 20.1 = 0.0 0.0 + -22.2x = 0 + 20.1 -22.2x = 0 + 20.1 Combine like terms: 0 + 20.1 = 20.1 -22.2x = 20.1 Divide each side by '-22.2'. x = -0.9054054054 Simplifying x = -0.9054054054
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