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Simplifying 0.75(24 + -16x) = -0.7(18x + -27) (24 * 0.75 + -16x * 0.75) = -0.7(18x + -27) (18 + -12x) = -0.7(18x + -27) Reorder the terms: 18 + -12x = -0.7(-27 + 18x) 18 + -12x = (-27 * -0.7 + 18x * -0.7) 18 + -12x = (18.9 + -12.6x) Solving 18 + -12x = 18.9 + -12.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.6x' to each side of the equation. 18 + -12x + 12.6x = 18.9 + -12.6x + 12.6x Combine like terms: -12x + 12.6x = 0.6x 18 + 0.6x = 18.9 + -12.6x + 12.6x Combine like terms: -12.6x + 12.6x = 0.0 18 + 0.6x = 18.9 + 0.0 18 + 0.6x = 18.9 Add '-18' to each side of the equation. 18 + -18 + 0.6x = 18.9 + -18 Combine like terms: 18 + -18 = 0 0 + 0.6x = 18.9 + -18 0.6x = 18.9 + -18 Combine like terms: 18.9 + -18 = 0.9 0.6x = 0.9 Divide each side by '0.6'. x = 1.5 Simplifying x = 1.5
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