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Simplifying 0.75(24 + -16x) = -0.66(18x + -27) (24 * 0.75 + -16x * 0.75) = -0.66(18x + -27) (18 + -12x) = -0.66(18x + -27) Reorder the terms: 18 + -12x = -0.66(-27 + 18x) 18 + -12x = (-27 * -0.66 + 18x * -0.66) 18 + -12x = (17.82 + -11.88x) Solving 18 + -12x = 17.82 + -11.88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.88x' to each side of the equation. 18 + -12x + 11.88x = 17.82 + -11.88x + 11.88x Combine like terms: -12x + 11.88x = -0.12x 18 + -0.12x = 17.82 + -11.88x + 11.88x Combine like terms: -11.88x + 11.88x = 0.00 18 + -0.12x = 17.82 + 0.00 18 + -0.12x = 17.82 Add '-18' to each side of the equation. 18 + -18 + -0.12x = 17.82 + -18 Combine like terms: 18 + -18 = 0 0 + -0.12x = 17.82 + -18 -0.12x = 17.82 + -18 Combine like terms: 17.82 + -18 = -0.18 -0.12x = -0.18 Divide each side by '-0.12'. x = 1.5 Simplifying x = 1.5
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