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Simplifying 0.3(X + 6) + 1.3(X + -5) = 0 Reorder the terms: 0.3(6 + X) + 1.3(X + -5) = 0 (6 * 0.3 + X * 0.3) + 1.3(X + -5) = 0 (1.8 + 0.3X) + 1.3(X + -5) = 0 Reorder the terms: 1.8 + 0.3X + 1.3(-5 + X) = 0 1.8 + 0.3X + (-5 * 1.3 + X * 1.3) = 0 1.8 + 0.3X + (-6.5 + 1.3X) = 0 Reorder the terms: 1.8 + -6.5 + 0.3X + 1.3X = 0 Combine like terms: 1.8 + -6.5 = -4.7 -4.7 + 0.3X + 1.3X = 0 Combine like terms: 0.3X + 1.3X = 1.6X -4.7 + 1.6X = 0 Solving -4.7 + 1.6X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4.7' to each side of the equation. -4.7 + 4.7 + 1.6X = 0 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1.6X = 0 + 4.7 1.6X = 0 + 4.7 Combine like terms: 0 + 4.7 = 4.7 1.6X = 4.7 Divide each side by '1.6'. X = 2.9375 Simplifying X = 2.9375
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