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Simplifying 18.2(0.6x + -1.01) = 1.3(11.3 + -2.2x) Reorder the terms: 18.2(-1.01 + 0.6x) = 1.3(11.3 + -2.2x) (-1.01 * 18.2 + 0.6x * 18.2) = 1.3(11.3 + -2.2x) (-18.382 + 10.92x) = 1.3(11.3 + -2.2x) -18.382 + 10.92x = (11.3 * 1.3 + -2.2x * 1.3) -18.382 + 10.92x = (14.69 + -2.86x) Solving -18.382 + 10.92x = 14.69 + -2.86x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.86x' to each side of the equation. -18.382 + 10.92x + 2.86x = 14.69 + -2.86x + 2.86x Combine like terms: 10.92x + 2.86x = 13.78x -18.382 + 13.78x = 14.69 + -2.86x + 2.86x Combine like terms: -2.86x + 2.86x = 0.00 -18.382 + 13.78x = 14.69 + 0.00 -18.382 + 13.78x = 14.69 Add '18.382' to each side of the equation. -18.382 + 18.382 + 13.78x = 14.69 + 18.382 Combine like terms: -18.382 + 18.382 = 0.000 0.000 + 13.78x = 14.69 + 18.382 13.78x = 14.69 + 18.382 Combine like terms: 14.69 + 18.382 = 33.072 13.78x = 33.072 Divide each side by '13.78'. x = 2.4 Simplifying x = 2.4
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