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Simplifying 0.3x + 0.7(x + -0.1) = 12.82 Reorder the terms: 0.3x + 0.7(-0.1 + x) = 12.82 0.3x + (-0.1 * 0.7 + x * 0.7) = 12.82 0.3x + (-0.07 + 0.7x) = 12.82 Reorder the terms: -0.07 + 0.3x + 0.7x = 12.82 Combine like terms: 0.3x + 0.7x = 1x -0.07 + 1x = 12.82 Solving -0.07 + 1x = 12.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07' to each side of the equation. -0.07 + 0.07 + 1x = 12.82 + 0.07 Combine like terms: -0.07 + 0.07 = 0.00 0.00 + 1x = 12.82 + 0.07 1x = 12.82 + 0.07 Combine like terms: 12.82 + 0.07 = 12.89 1x = 12.89 Divide each side by '1'. x = 12.89 Simplifying x = 12.89
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