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Simplifying 0.1(-9.6 + 7x) = 0.9 (-9.6 * 0.1 + 7x * 0.1) = 0.9 (-0.96 + 0.7x) = 0.9 Solving -0.96 + 0.7x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.7x = 0.9 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.7x = 0.9 + 0.96 0.7x = 0.9 + 0.96 Combine like terms: 0.9 + 0.96 = 1.86 0.7x = 1.86 Divide each side by '0.7'. x = 2.657142857 Simplifying x = 2.657142857
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