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Simplifying 7.8x + -3.2(3.1x + -2.4) = 0 Reorder the terms: 7.8x + -3.2(-2.4 + 3.1x) = 0 7.8x + (-2.4 * -3.2 + 3.1x * -3.2) = 0 7.8x + (7.68 + -9.92x) = 0 Reorder the terms: 7.68 + 7.8x + -9.92x = 0 Combine like terms: 7.8x + -9.92x = -2.12x 7.68 + -2.12x = 0 Solving 7.68 + -2.12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.68' to each side of the equation. 7.68 + -7.68 + -2.12x = 0 + -7.68 Combine like terms: 7.68 + -7.68 = 0.00 0.00 + -2.12x = 0 + -7.68 -2.12x = 0 + -7.68 Combine like terms: 0 + -7.68 = -7.68 -2.12x = -7.68 Divide each side by '-2.12'. x = 3.622641509 Simplifying x = 3.622641509
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