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Simplifying 0.5x + -0.333(x + -8) = 3x Reorder the terms: 0.5x + -0.333(-8 + x) = 3x 0.5x + (-8 * -0.333 + x * -0.333) = 3x 0.5x + (2.664 + -0.333x) = 3x Reorder the terms: 2.664 + 0.5x + -0.333x = 3x Combine like terms: 0.5x + -0.333x = 0.167x 2.664 + 0.167x = 3x Solving 2.664 + 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. 2.664 + 0.167x + -3x = 3x + -3x Combine like terms: 0.167x + -3x = -2.833x 2.664 + -2.833x = 3x + -3x Combine like terms: 3x + -3x = 0 2.664 + -2.833x = 0 Add '-2.664' to each side of the equation. 2.664 + -2.664 + -2.833x = 0 + -2.664 Combine like terms: 2.664 + -2.664 = 0.000 0.000 + -2.833x = 0 + -2.664 -2.833x = 0 + -2.664 Combine like terms: 0 + -2.664 = -2.664 -2.833x = -2.664 Divide each side by '-2.833'. x = 0.940345923 Simplifying x = 0.940345923
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