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Simplifying 0.7(2x + -8) + 0.11 = 0.5(X + 9) + -0.09 Reorder the terms: 0.7(-8 + 2x) + 0.11 = 0.5(X + 9) + -0.09 (-8 * 0.7 + 2x * 0.7) + 0.11 = 0.5(X + 9) + -0.09 (-5.6 + 1.4x) + 0.11 = 0.5(X + 9) + -0.09 Reorder the terms: -5.6 + 0.11 + 1.4x = 0.5(X + 9) + -0.09 Combine like terms: -5.6 + 0.11 = -5.49 -5.49 + 1.4x = 0.5(X + 9) + -0.09 Reorder the terms: -5.49 + 1.4x = 0.5(9 + X) + -0.09 -5.49 + 1.4x = (9 * 0.5 + X * 0.5) + -0.09 -5.49 + 1.4x = (4.5 + 0.5X) + -0.09 Reorder the terms: -5.49 + 1.4x = 4.5 + -0.09 + 0.5X Combine like terms: 4.5 + -0.09 = 4.41 -5.49 + 1.4x = 4.41 + 0.5X Solving -5.49 + 1.4x = 4.41 + 0.5X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.49' to each side of the equation. -5.49 + 5.49 + 1.4x = 4.41 + 5.49 + 0.5X Combine like terms: -5.49 + 5.49 = 0.00 0.00 + 1.4x = 4.41 + 5.49 + 0.5X 1.4x = 4.41 + 5.49 + 0.5X Combine like terms: 4.41 + 5.49 = 9.9 1.4x = 9.9 + 0.5X Divide each side by '1.4'. x = 7.071428571 + 0.3571428571X Simplifying x = 7.071428571 + 0.3571428571X
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