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Simplifying -10.546x + -0.9(25.5x + 30.4) = 23.5(-7.4 + -13.6x) Reorder the terms: -10.546x + -0.9(30.4 + 25.5x) = 23.5(-7.4 + -13.6x) -10.546x + (30.4 * -0.9 + 25.5x * -0.9) = 23.5(-7.4 + -13.6x) -10.546x + (-27.36 + -22.95x) = 23.5(-7.4 + -13.6x) Reorder the terms: -27.36 + -10.546x + -22.95x = 23.5(-7.4 + -13.6x) Combine like terms: -10.546x + -22.95x = -33.496x -27.36 + -33.496x = 23.5(-7.4 + -13.6x) -27.36 + -33.496x = (-7.4 * 23.5 + -13.6x * 23.5) -27.36 + -33.496x = (-173.9 + -319.6x) Solving -27.36 + -33.496x = -173.9 + -319.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '319.6x' to each side of the equation. -27.36 + -33.496x + 319.6x = -173.9 + -319.6x + 319.6x Combine like terms: -33.496x + 319.6x = 286.104x -27.36 + 286.104x = -173.9 + -319.6x + 319.6x Combine like terms: -319.6x + 319.6x = 0.0 -27.36 + 286.104x = -173.9 + 0.0 -27.36 + 286.104x = -173.9 Add '27.36' to each side of the equation. -27.36 + 27.36 + 286.104x = -173.9 + 27.36 Combine like terms: -27.36 + 27.36 = 0.00 0.00 + 286.104x = -173.9 + 27.36 286.104x = -173.9 + 27.36 Combine like terms: -173.9 + 27.36 = -146.54 286.104x = -146.54 Divide each side by '286.104'. x = -0.512191371 Simplifying x = -0.512191371
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