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Simplifying 0.4(x + 10) + 1.4x = 85 Reorder the terms: 0.4(10 + x) + 1.4x = 85 (10 * 0.4 + x * 0.4) + 1.4x = 85 (4 + 0.4x) + 1.4x = 85 Combine like terms: 0.4x + 1.4x = 1.8x 4 + 1.8x = 85 Solving 4 + 1.8x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1.8x = 85 + -4 Combine like terms: 4 + -4 = 0 0 + 1.8x = 85 + -4 1.8x = 85 + -4 Combine like terms: 85 + -4 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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