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Simplifying 0.5x + -3 = 0.666x + 7 Reorder the terms: -3 + 0.5x = 0.666x + 7 Reorder the terms: -3 + 0.5x = 7 + 0.666x Solving -3 + 0.5x = 7 + 0.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.666x' to each side of the equation. -3 + 0.5x + -0.666x = 7 + 0.666x + -0.666x Combine like terms: 0.5x + -0.666x = -0.166x -3 + -0.166x = 7 + 0.666x + -0.666x Combine like terms: 0.666x + -0.666x = 0.000 -3 + -0.166x = 7 + 0.000 -3 + -0.166x = 7 Add '3' to each side of the equation. -3 + 3 + -0.166x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -0.166x = 7 + 3 -0.166x = 7 + 3 Combine like terms: 7 + 3 = 10 -0.166x = 10 Divide each side by '-0.166'. x = -60.24096386 Simplifying x = -60.24096386
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