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Simplifying 0.5x + -0.333(x + -2) = 3x Reorder the terms: 0.5x + -0.333(-2 + x) = 3x 0.5x + (-2 * -0.333 + x * -0.333) = 3x 0.5x + (0.666 + -0.333x) = 3x Reorder the terms: 0.666 + 0.5x + -0.333x = 3x Combine like terms: 0.5x + -0.333x = 0.167x 0.666 + 0.167x = 3x Solving 0.666 + 0.167x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.666 + 0.167x + -3x = 3x + -3x Combine like terms: 0.167x + -3x = -2.833x 0.666 + -2.833x = 3x + -3x Combine like terms: 3x + -3x = 0 0.666 + -2.833x = 0 Add '-0.666' to each side of the equation. 0.666 + -0.666 + -2.833x = 0 + -0.666 Combine like terms: 0.666 + -0.666 = 0.000 0.000 + -2.833x = 0 + -0.666 -2.833x = 0 + -0.666 Combine like terms: 0 + -0.666 = -0.666 -2.833x = -0.666 Divide each side by '-2.833'. x = 0.2350864808 Simplifying x = 0.2350864808
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