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Simplifying 0.4(x + 50) + 1.4x = 101 Reorder the terms: 0.4(50 + x) + 1.4x = 101 (50 * 0.4 + x * 0.4) + 1.4x = 101 (20 + 0.4x) + 1.4x = 101 Combine like terms: 0.4x + 1.4x = 1.8x 20 + 1.8x = 101 Solving 20 + 1.8x = 101 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 + 1.8x = 101 + -20 Combine like terms: 20 + -20 = 0 0 + 1.8x = 101 + -20 1.8x = 101 + -20 Combine like terms: 101 + -20 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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