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Simplifying 0.5(x + -1.5) + -0.66(x + 5.33) = -1.066 Reorder the terms: 0.5(-1.5 + x) + -0.66(x + 5.33) = -1.066 (-1.5 * 0.5 + x * 0.5) + -0.66(x + 5.33) = -1.066 (-0.75 + 0.5x) + -0.66(x + 5.33) = -1.066 Reorder the terms: -0.75 + 0.5x + -0.66(5.33 + x) = -1.066 -0.75 + 0.5x + (5.33 * -0.66 + x * -0.66) = -1.066 -0.75 + 0.5x + (-3.5178 + -0.66x) = -1.066 Reorder the terms: -0.75 + -3.5178 + 0.5x + -0.66x = -1.066 Combine like terms: -0.75 + -3.5178 = -4.2678 -4.2678 + 0.5x + -0.66x = -1.066 Combine like terms: 0.5x + -0.66x = -0.16x -4.2678 + -0.16x = -1.066 Solving -4.2678 + -0.16x = -1.066 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2678' to each side of the equation. -4.2678 + 4.2678 + -0.16x = -1.066 + 4.2678 Combine like terms: -4.2678 + 4.2678 = 0.0000 0.0000 + -0.16x = -1.066 + 4.2678 -0.16x = -1.066 + 4.2678 Combine like terms: -1.066 + 4.2678 = 3.2018 -0.16x = 3.2018 Divide each side by '-0.16'. x = -20.01125 Simplifying x = -20.01125
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