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Simplifying 19.5(13.3 + -4.4x) = 7.2(0.8x + -116) (13.3 * 19.5 + -4.4x * 19.5) = 7.2(0.8x + -116) (259.35 + -85.8x) = 7.2(0.8x + -116) Reorder the terms: 259.35 + -85.8x = 7.2(-116 + 0.8x) 259.35 + -85.8x = (-116 * 7.2 + 0.8x * 7.2) 259.35 + -85.8x = (-835.2 + 5.76x) Solving 259.35 + -85.8x = -835.2 + 5.76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.76x' to each side of the equation. 259.35 + -85.8x + -5.76x = -835.2 + 5.76x + -5.76x Combine like terms: -85.8x + -5.76x = -91.56x 259.35 + -91.56x = -835.2 + 5.76x + -5.76x Combine like terms: 5.76x + -5.76x = 0.00 259.35 + -91.56x = -835.2 + 0.00 259.35 + -91.56x = -835.2 Add '-259.35' to each side of the equation. 259.35 + -259.35 + -91.56x = -835.2 + -259.35 Combine like terms: 259.35 + -259.35 = 0.00 0.00 + -91.56x = -835.2 + -259.35 -91.56x = -835.2 + -259.35 Combine like terms: -835.2 + -259.35 = -1094.55 -91.56x = -1094.55 Divide each side by '-91.56'. x = 11.95445609 Simplifying x = 11.95445609
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