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Simplifying 0.5x + -3 = 0.6666666x + 4 Reorder the terms: -3 + 0.5x = 0.6666666x + 4 Reorder the terms: -3 + 0.5x = 4 + 0.6666666x Solving -3 + 0.5x = 4 + 0.6666666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666x' to each side of the equation. -3 + 0.5x + -0.6666666x = 4 + 0.6666666x + -0.6666666x Combine like terms: 0.5x + -0.6666666x = -0.1666666x -3 + -0.1666666x = 4 + 0.6666666x + -0.6666666x Combine like terms: 0.6666666x + -0.6666666x = 0.0000000 -3 + -0.1666666x = 4 + 0.0000000 -3 + -0.1666666x = 4 Add '3' to each side of the equation. -3 + 3 + -0.1666666x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1666666x = 4 + 3 -0.1666666x = 4 + 3 Combine like terms: 4 + 3 = 7 -0.1666666x = 7 Divide each side by '-0.1666666'. x = -42.0000168 Simplifying x = -42.0000168
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