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Simplifying 0.5x + 0.10(x + -5) = 81.40 Reorder the terms: 0.5x + 0.10(-5 + x) = 81.40 0.5x + (-5 * 0.10 + x * 0.10) = 81.40 0.5x + (-0.5 + 0.10x) = 81.40 Reorder the terms: -0.5 + 0.5x + 0.10x = 81.40 Combine like terms: 0.5x + 0.10x = 0.6x -0.5 + 0.6x = 81.40 Solving -0.5 + 0.6x = 81.40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.6x = 81.40 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.6x = 81.40 + 0.5 0.6x = 81.40 + 0.5 Combine like terms: 81.40 + 0.5 = 81.9 0.6x = 81.9 Divide each side by '0.6'. x = 136.5 Simplifying x = 136.5
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