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Simplifying 0.3x + 0.8(25 + -1x) = 0.5(25) 0.3x + (25 * 0.8 + -1x * 0.8) = 0.5(25) 0.3x + (20 + -0.8x) = 0.5(25) Reorder the terms: 20 + 0.3x + -0.8x = 0.5(25) Combine like terms: 0.3x + -0.8x = -0.5x 20 + -0.5x = 0.5(25) Multiply 0.5 * 25 20 + -0.5x = 12.5 Solving 20 + -0.5x = 12.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -0.5x = 12.5 + -20 Combine like terms: 20 + -20 = 0 0 + -0.5x = 12.5 + -20 -0.5x = 12.5 + -20 Combine like terms: 12.5 + -20 = -7.5 -0.5x = -7.5 Divide each side by '-0.5'. x = 15 Simplifying x = 15
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