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Simplifying 0.9x + 0.1(40 + -1x) = 40 0.9x + (40 * 0.1 + -1x * 0.1) = 40 0.9x + (4 + -0.1x) = 40 Reorder the terms: 4 + 0.9x + -0.1x = 40 Combine like terms: 0.9x + -0.1x = 0.8x 4 + 0.8x = 40 Solving 4 + 0.8x = 40 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 + 0.8x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 0.8x = 40 + -4 0.8x = 40 + -4 Combine like terms: 40 + -4 = 36 0.8x = 36 Divide each side by '0.8'. x = 45 Simplifying x = 45
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