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Simplifying 2(2x + 0.33) = 0.5(x + 5.33) Reorder the terms: 2(0.33 + 2x) = 0.5(x + 5.33) (0.33 * 2 + 2x * 2) = 0.5(x + 5.33) (0.66 + 4x) = 0.5(x + 5.33) Reorder the terms: 0.66 + 4x = 0.5(5.33 + x) 0.66 + 4x = (5.33 * 0.5 + x * 0.5) 0.66 + 4x = (2.665 + 0.5x) Solving 0.66 + 4x = 2.665 + 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. 0.66 + 4x + -0.5x = 2.665 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x 0.66 + 3.5x = 2.665 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.66 + 3.5x = 2.665 + 0.0 0.66 + 3.5x = 2.665 Add '-0.66' to each side of the equation. 0.66 + -0.66 + 3.5x = 2.665 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + 3.5x = 2.665 + -0.66 3.5x = 2.665 + -0.66 Combine like terms: 2.665 + -0.66 = 2.005 3.5x = 2.005 Divide each side by '3.5'. x = 0.5728571429 Simplifying x = 0.5728571429
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