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Simplifying 0.4(x + 100) + 1.4x = 121 Reorder the terms: 0.4(100 + x) + 1.4x = 121 (100 * 0.4 + x * 0.4) + 1.4x = 121 (40 + 0.4x) + 1.4x = 121 Combine like terms: 0.4x + 1.4x = 1.8x 40 + 1.8x = 121 Solving 40 + 1.8x = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1.8x = 121 + -40 Combine like terms: 40 + -40 = 0 0 + 1.8x = 121 + -40 1.8x = 121 + -40 Combine like terms: 121 + -40 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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