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Simplifying 0.3333333333(3x + 6) = 0.5(x + -4) Reorder the terms: 0.3333333333(6 + 3x) = 0.5(x + -4) (6 * 0.3333333333 + 3x * 0.3333333333) = 0.5(x + -4) (2 + 0.9999999999x) = 0.5(x + -4) Reorder the terms: 2 + 0.9999999999x = 0.5(-4 + x) 2 + 0.9999999999x = (-4 * 0.5 + x * 0.5) 2 + 0.9999999999x = (-2 + 0.5x) Solving 2 + 0.9999999999x = -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. 2 + 0.9999999999x + -0.5x = -2 + 0.5x + -0.5x Combine like terms: 0.9999999999x + -0.5x = 0.4999999999x 2 + 0.4999999999x = -2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 0.4999999999x = -2 + 0.0 2 + 0.4999999999x = -2 Add '-2' to each side of the equation. 2 + -2 + 0.4999999999x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.4999999999x = -2 + -2 0.4999999999x = -2 + -2 Combine like terms: -2 + -2 = -4 0.4999999999x = -4 Divide each side by '0.4999999999'. x = -8.000000002 Simplifying x = -8.000000002
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