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Simplifying 6(X + 20) + 0.8(X + -10) = 46 Reorder the terms: 6(20 + X) + 0.8(X + -10) = 46 (20 * 6 + X * 6) + 0.8(X + -10) = 46 (120 + 6X) + 0.8(X + -10) = 46 Reorder the terms: 120 + 6X + 0.8(-10 + X) = 46 120 + 6X + (-10 * 0.8 + X * 0.8) = 46 120 + 6X + (-8 + 0.8X) = 46 Reorder the terms: 120 + -8 + 6X + 0.8X = 46 Combine like terms: 120 + -8 = 112 112 + 6X + 0.8X = 46 Combine like terms: 6X + 0.8X = 6.8X 112 + 6.8X = 46 Solving 112 + 6.8X = 46 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 6.8X = 46 + -112 Combine like terms: 112 + -112 = 0 0 + 6.8X = 46 + -112 6.8X = 46 + -112 Combine like terms: 46 + -112 = -66 6.8X = -66 Divide each side by '6.8'. X = -9.705882353 Simplifying X = -9.705882353
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