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Simplifying 0.6666666667x + -3 = 0.5x + -7 Reorder the terms: -3 + 0.6666666667x = 0.5x + -7 Reorder the terms: -3 + 0.6666666667x = -7 + 0.5x Solving -3 + 0.6666666667x = -7 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3 + 0.6666666667x + -0.5x = -7 + 0.5x + -0.5x Combine like terms: 0.6666666667x + -0.5x = 0.1666666667x -3 + 0.1666666667x = -7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 0.1666666667x = -7 + 0.0 -3 + 0.1666666667x = -7 Add '3' to each side of the equation. -3 + 3 + 0.1666666667x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 0.1666666667x = -7 + 3 0.1666666667x = -7 + 3 Combine like terms: -7 + 3 = -4 0.1666666667x = -4 Divide each side by '0.1666666667'. x = -24 Simplifying x = -24
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