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Simplifying 0.3x + 48(0.6) = 0.50(x + 48) Multiply 48 * 0.6 0.3x + 28.8 = 0.50(x + 48) Reorder the terms: 28.8 + 0.3x = 0.50(x + 48) Reorder the terms: 28.8 + 0.3x = 0.50(48 + x) 28.8 + 0.3x = (48 * 0.50 + x * 0.50) 28.8 + 0.3x = (24 + 0.50x) Solving 28.8 + 0.3x = 24 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 28.8 + 0.3x + -0.50x = 24 + 0.50x + -0.50x Combine like terms: 0.3x + -0.50x = -0.2x 28.8 + -0.2x = 24 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 28.8 + -0.2x = 24 + 0.00 28.8 + -0.2x = 24 Add '-28.8' to each side of the equation. 28.8 + -28.8 + -0.2x = 24 + -28.8 Combine like terms: 28.8 + -28.8 = 0.0 0.0 + -0.2x = 24 + -28.8 -0.2x = 24 + -28.8 Combine like terms: 24 + -28.8 = -4.8 -0.2x = -4.8 Divide each side by '-0.2'. x = 24 Simplifying x = 24
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