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Simplifying 0.5x + -0.33(x + -2) = 3x Reorder the terms: 0.5x + -0.33(-2 + x) = 3x 0.5x + (-2 * -0.33 + x * -0.33) = 3x 0.5x + (0.66 + -0.33x) = 3x Reorder the terms: 0.66 + 0.5x + -0.33x = 3x Combine like terms: 0.5x + -0.33x = 0.17x 0.66 + 0.17x = 3x Solving 0.66 + 0.17x = 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. 0.66 + 0.17x + -3x = 3x + -3x Combine like terms: 0.17x + -3x = -2.83x 0.66 + -2.83x = 3x + -3x Combine like terms: 3x + -3x = 0 0.66 + -2.83x = 0 Add '-0.66' to each side of the equation. 0.66 + -0.66 + -2.83x = 0 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -2.83x = 0 + -0.66 -2.83x = 0 + -0.66 Combine like terms: 0 + -0.66 = -0.66 -2.83x = -0.66 Divide each side by '-2.83'. x = 0.2332155477 Simplifying x = 0.2332155477
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