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Simplifying 0.3(500 + -2.3X) = 3.6(3x + -4000) (500 * 0.3 + -2.3X * 0.3) = 3.6(3x + -4000) (150 + -0.69X) = 3.6(3x + -4000) Reorder the terms: 150 + -0.69X = 3.6(-4000 + 3x) 150 + -0.69X = (-4000 * 3.6 + 3x * 3.6) 150 + -0.69X = (-14400 + 10.8x) Solving 150 + -0.69X = -14400 + 10.8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -0.69X = -14400 + -150 + 10.8x Combine like terms: 150 + -150 = 0 0 + -0.69X = -14400 + -150 + 10.8x -0.69X = -14400 + -150 + 10.8x Combine like terms: -14400 + -150 = -14550 -0.69X = -14550 + 10.8x Divide each side by '-0.69'. X = 21086.95652 + -15.65217391x Simplifying X = 21086.95652 + -15.65217391x
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