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Simplifying 0.4(5x + -12) + 0.5x = 15.2 Reorder the terms: 0.4(-12 + 5x) + 0.5x = 15.2 (-12 * 0.4 + 5x * 0.4) + 0.5x = 15.2 (-4.8 + 2x) + 0.5x = 15.2 Combine like terms: 2x + 0.5x = 2.5x -4.8 + 2.5x = 15.2 Solving -4.8 + 2.5x = 15.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.8' to each side of the equation. -4.8 + 4.8 + 2.5x = 15.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 2.5x = 15.2 + 4.8 2.5x = 15.2 + 4.8 Combine like terms: 15.2 + 4.8 = 20 2.5x = 20 Divide each side by '2.5'. x = 8 Simplifying x = 8
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