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Simplifying 0.75(2 + 4x) + -2.33 = 5 + 0.5x (2 * 0.75 + 4x * 0.75) + -2.33 = 5 + 0.5x (1.5 + 3x) + -2.33 = 5 + 0.5x Reorder the terms: 1.5 + -2.33 + 3x = 5 + 0.5x Combine like terms: 1.5 + -2.33 = -0.83 -0.83 + 3x = 5 + 0.5x Solving -0.83 + 3x = 5 + 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. -0.83 + 3x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -0.83 + 2.5x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.83 + 2.5x = 5 + 0.0 -0.83 + 2.5x = 5 Add '0.83' to each side of the equation. -0.83 + 0.83 + 2.5x = 5 + 0.83 Combine like terms: -0.83 + 0.83 = 0.00 0.00 + 2.5x = 5 + 0.83 2.5x = 5 + 0.83 Combine like terms: 5 + 0.83 = 5.83 2.5x = 5.83 Divide each side by '2.5'. x = 2.332 Simplifying x = 2.332
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