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Simplifying 1 + 0.666(X + -7) = 0.5X + -2 Reorder the terms: 1 + 0.666(-7 + X) = 0.5X + -2 1 + (-7 * 0.666 + X * 0.666) = 0.5X + -2 1 + (-4.662 + 0.666X) = 0.5X + -2 Combine like terms: 1 + -4.662 = -3.662 -3.662 + 0.666X = 0.5X + -2 Reorder the terms: -3.662 + 0.666X = -2 + 0.5X Solving -3.662 + 0.666X = -2 + 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. -3.662 + 0.666X + -0.5X = -2 + 0.5X + -0.5X Combine like terms: 0.666X + -0.5X = 0.166X -3.662 + 0.166X = -2 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 -3.662 + 0.166X = -2 + 0.0 -3.662 + 0.166X = -2 Add '3.662' to each side of the equation. -3.662 + 3.662 + 0.166X = -2 + 3.662 Combine like terms: -3.662 + 3.662 = 0.000 0.000 + 0.166X = -2 + 3.662 0.166X = -2 + 3.662 Combine like terms: -2 + 3.662 = 1.662 0.166X = 1.662 Divide each side by '0.166'. X = 10.01204819 Simplifying X = 10.01204819
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