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Simplifying 3(2.5x + -1.1) = 2(5.2 + -3.3x) Reorder the terms: 3(-1.1 + 2.5x) = 2(5.2 + -3.3x) (-1.1 * 3 + 2.5x * 3) = 2(5.2 + -3.3x) (-3.3 + 7.5x) = 2(5.2 + -3.3x) -3.3 + 7.5x = (5.2 * 2 + -3.3x * 2) -3.3 + 7.5x = (10.4 + -6.6x) Solving -3.3 + 7.5x = 10.4 + -6.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.6x' to each side of the equation. -3.3 + 7.5x + 6.6x = 10.4 + -6.6x + 6.6x Combine like terms: 7.5x + 6.6x = 14.1x -3.3 + 14.1x = 10.4 + -6.6x + 6.6x Combine like terms: -6.6x + 6.6x = 0.0 -3.3 + 14.1x = 10.4 + 0.0 -3.3 + 14.1x = 10.4 Add '3.3' to each side of the equation. -3.3 + 3.3 + 14.1x = 10.4 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 14.1x = 10.4 + 3.3 14.1x = 10.4 + 3.3 Combine like terms: 10.4 + 3.3 = 13.7 14.1x = 13.7 Divide each side by '14.1'. x = 0.9716312057 Simplifying x = 0.9716312057
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