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Simplifying X(3.8 + -2.6) + 3 + 3.2(x + 2) = 0 Combine like terms: 3.8 + -2.6 = 1.2 X(1.2) + 3 + 3.2(x + 2) = 0 Reorder the terms for easier multiplication: 1.2X + 3 + 3.2(x + 2) = 0 Reorder the terms: 1.2X + 3 + 3.2(2 + x) = 0 1.2X + 3 + (2 * 3.2 + x * 3.2) = 0 1.2X + 3 + (6.4 + 3.2x) = 0 Reorder the terms: 3 + 6.4 + 1.2X + 3.2x = 0 Combine like terms: 3 + 6.4 = 9.4 9.4 + 1.2X + 3.2x = 0 Solving 9.4 + 1.2X + 3.2x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9.4' to each side of the equation. 9.4 + 1.2X + -9.4 + 3.2x = 0 + -9.4 Reorder the terms: 9.4 + -9.4 + 1.2X + 3.2x = 0 + -9.4 Combine like terms: 9.4 + -9.4 = 0.0 0.0 + 1.2X + 3.2x = 0 + -9.4 1.2X + 3.2x = 0 + -9.4 Combine like terms: 0 + -9.4 = -9.4 1.2X + 3.2x = -9.4 Add '-3.2x' to each side of the equation. 1.2X + 3.2x + -3.2x = -9.4 + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 1.2X + 0.0 = -9.4 + -3.2x 1.2X = -9.4 + -3.2x Divide each side by '1.2'. X = -7.833333333 + -2.666666667x Simplifying X = -7.833333333 + -2.666666667x
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