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Simplifying 6.35(0.24x + -2.15) = -9.83(4.36x + 11.56) Reorder the terms: 6.35(-2.15 + 0.24x) = -9.83(4.36x + 11.56) (-2.15 * 6.35 + 0.24x * 6.35) = -9.83(4.36x + 11.56) (-13.6525 + 1.524x) = -9.83(4.36x + 11.56) Reorder the terms: -13.6525 + 1.524x = -9.83(11.56 + 4.36x) -13.6525 + 1.524x = (11.56 * -9.83 + 4.36x * -9.83) -13.6525 + 1.524x = (-113.6348 + -42.8588x) Solving -13.6525 + 1.524x = -113.6348 + -42.8588x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42.8588x' to each side of the equation. -13.6525 + 1.524x + 42.8588x = -113.6348 + -42.8588x + 42.8588x Combine like terms: 1.524x + 42.8588x = 44.3828x -13.6525 + 44.3828x = -113.6348 + -42.8588x + 42.8588x Combine like terms: -42.8588x + 42.8588x = 0.0000 -13.6525 + 44.3828x = -113.6348 + 0.0000 -13.6525 + 44.3828x = -113.6348 Add '13.6525' to each side of the equation. -13.6525 + 13.6525 + 44.3828x = -113.6348 + 13.6525 Combine like terms: -13.6525 + 13.6525 = 0.0000 0.0000 + 44.3828x = -113.6348 + 13.6525 44.3828x = -113.6348 + 13.6525 Combine like terms: -113.6348 + 13.6525 = -99.9823 44.3828x = -99.9823 Divide each side by '44.3828'. x = -2.252726281 Simplifying x = -2.252726281
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