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Simplifying 0.66(9x + 15) = 0.25(8x + -24) Reorder the terms: 0.66(15 + 9x) = 0.25(8x + -24) (15 * 0.66 + 9x * 0.66) = 0.25(8x + -24) (9.9 + 5.94x) = 0.25(8x + -24) Reorder the terms: 9.9 + 5.94x = 0.25(-24 + 8x) 9.9 + 5.94x = (-24 * 0.25 + 8x * 0.25) 9.9 + 5.94x = (-6 + 2x) Solving 9.9 + 5.94x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9.9 + 5.94x + -2x = -6 + 2x + -2x Combine like terms: 5.94x + -2x = 3.94x 9.9 + 3.94x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 9.9 + 3.94x = -6 + 0 9.9 + 3.94x = -6 Add '-9.9' to each side of the equation. 9.9 + -9.9 + 3.94x = -6 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + 3.94x = -6 + -9.9 3.94x = -6 + -9.9 Combine like terms: -6 + -9.9 = -15.9 3.94x = -15.9 Divide each side by '3.94'. x = -4.035532995 Simplifying x = -4.035532995
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