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Simplifying 0.4(x + 30) + 0.8x = 48 Reorder the terms: 0.4(30 + x) + 0.8x = 48 (30 * 0.4 + x * 0.4) + 0.8x = 48 (12 + 0.4x) + 0.8x = 48 Combine like terms: 0.4x + 0.8x = 1.2x 12 + 1.2x = 48 Solving 12 + 1.2x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1.2x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 1.2x = 48 + -12 1.2x = 48 + -12 Combine like terms: 48 + -12 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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