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Simplifying 0.5x + 1 = 0.333x + -6 Reorder the terms: 1 + 0.5x = 0.333x + -6 Reorder the terms: 1 + 0.5x = -6 + 0.333x Solving 1 + 0.5x = -6 + 0.333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.333x' to each side of the equation. 1 + 0.5x + -0.333x = -6 + 0.333x + -0.333x Combine like terms: 0.5x + -0.333x = 0.167x 1 + 0.167x = -6 + 0.333x + -0.333x Combine like terms: 0.333x + -0.333x = 0.000 1 + 0.167x = -6 + 0.000 1 + 0.167x = -6 Add '-1' to each side of the equation. 1 + -1 + 0.167x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.167x = -6 + -1 0.167x = -6 + -1 Combine like terms: -6 + -1 = -7 0.167x = -7 Divide each side by '0.167'. x = -41.91616766 Simplifying x = -41.91616766
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