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Simplifying 0.16(36 + -24x) = 0.6(9 + -6x) (36 * 0.16 + -24x * 0.16) = 0.6(9 + -6x) (5.76 + -3.84x) = 0.6(9 + -6x) 5.76 + -3.84x = (9 * 0.6 + -6x * 0.6) 5.76 + -3.84x = (5.4 + -3.6x) Solving 5.76 + -3.84x = 5.4 + -3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.6x' to each side of the equation. 5.76 + -3.84x + 3.6x = 5.4 + -3.6x + 3.6x Combine like terms: -3.84x + 3.6x = -0.24x 5.76 + -0.24x = 5.4 + -3.6x + 3.6x Combine like terms: -3.6x + 3.6x = 0.0 5.76 + -0.24x = 5.4 + 0.0 5.76 + -0.24x = 5.4 Add '-5.76' to each side of the equation. 5.76 + -5.76 + -0.24x = 5.4 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + -0.24x = 5.4 + -5.76 -0.24x = 5.4 + -5.76 Combine like terms: 5.4 + -5.76 = -0.36 -0.24x = -0.36 Divide each side by '-0.24'. x = 1.5 Simplifying x = 1.5
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