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Simplifying 0.2x + 0.3(x + -0.23) = 0.002 + 4 Reorder the terms: 0.2x + 0.3(-0.23 + x) = 0.002 + 4 0.2x + (-0.23 * 0.3 + x * 0.3) = 0.002 + 4 0.2x + (-0.069 + 0.3x) = 0.002 + 4 Reorder the terms: -0.069 + 0.2x + 0.3x = 0.002 + 4 Combine like terms: 0.2x + 0.3x = 0.5x -0.069 + 0.5x = 0.002 + 4 Combine like terms: 0.002 + 4 = 4.002 -0.069 + 0.5x = 4.002 Solving -0.069 + 0.5x = 4.002 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.069' to each side of the equation. -0.069 + 0.069 + 0.5x = 4.002 + 0.069 Combine like terms: -0.069 + 0.069 = 0.000 0.000 + 0.5x = 4.002 + 0.069 0.5x = 4.002 + 0.069 Combine like terms: 4.002 + 0.069 = 4.071 0.5x = 4.071 Divide each side by '0.5'. x = 8.142 Simplifying x = 8.142
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