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Simplifying 0.16(36 + -24x) = 0.66(9 + -6x) (36 * 0.16 + -24x * 0.16) = 0.66(9 + -6x) (5.76 + -3.84x) = 0.66(9 + -6x) 5.76 + -3.84x = (9 * 0.66 + -6x * 0.66) 5.76 + -3.84x = (5.94 + -3.96x) Solving 5.76 + -3.84x = 5.94 + -3.96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.96x' to each side of the equation. 5.76 + -3.84x + 3.96x = 5.94 + -3.96x + 3.96x Combine like terms: -3.84x + 3.96x = 0.12x 5.76 + 0.12x = 5.94 + -3.96x + 3.96x Combine like terms: -3.96x + 3.96x = 0.00 5.76 + 0.12x = 5.94 + 0.00 5.76 + 0.12x = 5.94 Add '-5.76' to each side of the equation. 5.76 + -5.76 + 0.12x = 5.94 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + 0.12x = 5.94 + -5.76 0.12x = 5.94 + -5.76 Combine like terms: 5.94 + -5.76 = 0.18 0.12x = 0.18 Divide each side by '0.12'. x = 1.5 Simplifying x = 1.5
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