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Simplifying 0.5(x + -1.5) + -0.6(x + 5.3333) = -1.0666 Reorder the terms: 0.5(-1.5 + x) + -0.6(x + 5.3333) = -1.0666 (-1.5 * 0.5 + x * 0.5) + -0.6(x + 5.3333) = -1.0666 (-0.75 + 0.5x) + -0.6(x + 5.3333) = -1.0666 Reorder the terms: -0.75 + 0.5x + -0.6(5.3333 + x) = -1.0666 -0.75 + 0.5x + (5.3333 * -0.6 + x * -0.6) = -1.0666 -0.75 + 0.5x + (-3.19998 + -0.6x) = -1.0666 Reorder the terms: -0.75 + -3.19998 + 0.5x + -0.6x = -1.0666 Combine like terms: -0.75 + -3.19998 = -3.94998 -3.94998 + 0.5x + -0.6x = -1.0666 Combine like terms: 0.5x + -0.6x = -0.1x -3.94998 + -0.1x = -1.0666 Solving -3.94998 + -0.1x = -1.0666 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.94998' to each side of the equation. -3.94998 + 3.94998 + -0.1x = -1.0666 + 3.94998 Combine like terms: -3.94998 + 3.94998 = 0.00000 0.00000 + -0.1x = -1.0666 + 3.94998 -0.1x = -1.0666 + 3.94998 Combine like terms: -1.0666 + 3.94998 = 2.88338 -0.1x = 2.88338 Divide each side by '-0.1'. x = -28.8338 Simplifying x = -28.8338
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