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Simplifying 1.5(4x + 6) = 0.66(9x + -24) Reorder the terms: 1.5(6 + 4x) = 0.66(9x + -24) (6 * 1.5 + 4x * 1.5) = 0.66(9x + -24) (9 + 6x) = 0.66(9x + -24) Reorder the terms: 9 + 6x = 0.66(-24 + 9x) 9 + 6x = (-24 * 0.66 + 9x * 0.66) 9 + 6x = (-15.84 + 5.94x) Solving 9 + 6x = -15.84 + 5.94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.94x' to each side of the equation. 9 + 6x + -5.94x = -15.84 + 5.94x + -5.94x Combine like terms: 6x + -5.94x = 0.06x 9 + 0.06x = -15.84 + 5.94x + -5.94x Combine like terms: 5.94x + -5.94x = 0.00 9 + 0.06x = -15.84 + 0.00 9 + 0.06x = -15.84 Add '-9' to each side of the equation. 9 + -9 + 0.06x = -15.84 + -9 Combine like terms: 9 + -9 = 0 0 + 0.06x = -15.84 + -9 0.06x = -15.84 + -9 Combine like terms: -15.84 + -9 = -24.84 0.06x = -24.84 Divide each side by '0.06'. x = -414 Simplifying x = -414
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