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Simplifying 2.6(3x + 2) = 3x + 3.2 Reorder the terms: 2.6(2 + 3x) = 3x + 3.2 (2 * 2.6 + 3x * 2.6) = 3x + 3.2 (5.2 + 7.8x) = 3x + 3.2 Reorder the terms: 5.2 + 7.8x = 3.2 + 3x Solving 5.2 + 7.8x = 3.2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5.2 + 7.8x + -3x = 3.2 + 3x + -3x Combine like terms: 7.8x + -3x = 4.8x 5.2 + 4.8x = 3.2 + 3x + -3x Combine like terms: 3x + -3x = 0 5.2 + 4.8x = 3.2 + 0 5.2 + 4.8x = 3.2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + 4.8x = 3.2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 4.8x = 3.2 + -5.2 4.8x = 3.2 + -5.2 Combine like terms: 3.2 + -5.2 = -2 4.8x = -2 Divide each side by '4.8'. x = -0.4166666667 Simplifying x = -0.4166666667
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