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Simplifying 0.5(2.1x + -3) = 0.6(3.1 + 8) Reorder the terms: 0.5(-3 + 2.1x) = 0.6(3.1 + 8) (-3 * 0.5 + 2.1x * 0.5) = 0.6(3.1 + 8) (-1.5 + 1.05x) = 0.6(3.1 + 8) Combine like terms: 3.1 + 8 = 11.1 -1.5 + 1.05x = 0.6(11.1) Multiply 0.6 * 11.1 -1.5 + 1.05x = 6.66 Solving -1.5 + 1.05x = 6.66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 1.05x = 6.66 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.05x = 6.66 + 1.5 1.05x = 6.66 + 1.5 Combine like terms: 6.66 + 1.5 = 8.16 1.05x = 8.16 Divide each side by '1.05'. x = 7.771428571 Simplifying x = 7.771428571
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