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Simplifying 0.5(1.2x + -3.4) = 1.4 + 5.8 Reorder the terms: 0.5(-3.4 + 1.2x) = 1.4 + 5.8 (-3.4 * 0.5 + 1.2x * 0.5) = 1.4 + 5.8 (-1.7 + 0.6x) = 1.4 + 5.8 Combine like terms: 1.4 + 5.8 = 7.2 -1.7 + 0.6x = 7.2 Solving -1.7 + 0.6x = 7.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + 0.6x = 7.2 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 0.6x = 7.2 + 1.7 0.6x = 7.2 + 1.7 Combine like terms: 7.2 + 1.7 = 8.9 0.6x = 8.9 Divide each side by '0.6'. x = 14.83333333 Simplifying x = 14.83333333
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