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Simplifying -5.7(3x + 6) + -1.5(2x + -5) = 0 Reorder the terms: -5.7(6 + 3x) + -1.5(2x + -5) = 0 (6 * -5.7 + 3x * -5.7) + -1.5(2x + -5) = 0 (-34.2 + -17.1x) + -1.5(2x + -5) = 0 Reorder the terms: -34.2 + -17.1x + -1.5(-5 + 2x) = 0 -34.2 + -17.1x + (-5 * -1.5 + 2x * -1.5) = 0 -34.2 + -17.1x + (7.5 + -3x) = 0 Reorder the terms: -34.2 + 7.5 + -17.1x + -3x = 0 Combine like terms: -34.2 + 7.5 = -26.7 -26.7 + -17.1x + -3x = 0 Combine like terms: -17.1x + -3x = -20.1x -26.7 + -20.1x = 0 Solving -26.7 + -20.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26.7' to each side of the equation. -26.7 + 26.7 + -20.1x = 0 + 26.7 Combine like terms: -26.7 + 26.7 = 0.0 0.0 + -20.1x = 0 + 26.7 -20.1x = 0 + 26.7 Combine like terms: 0 + 26.7 = 26.7 -20.1x = 26.7 Divide each side by '-20.1'. x = -1.328358209 Simplifying x = -1.328358209
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