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Simplifying 0.33x + 4 = 0.5x + 2 Reorder the terms: 4 + 0.33x = 0.5x + 2 Reorder the terms: 4 + 0.33x = 2 + 0.5x Solving 4 + 0.33x = 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. 4 + 0.33x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.33x + -0.5x = -0.17x 4 + -0.17x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + -0.17x = 2 + 0.0 4 + -0.17x = 2 Add '-4' to each side of the equation. 4 + -4 + -0.17x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.17x = 2 + -4 -0.17x = 2 + -4 Combine like terms: 2 + -4 = -2 -0.17x = -2 Divide each side by '-0.17'. x = 11.76470588 Simplifying x = 11.76470588
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