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Simplifying -2.1(-3.2x + -4) + 1.2(2x + -5) = 0 Reorder the terms: -2.1(-4 + -3.2x) + 1.2(2x + -5) = 0 (-4 * -2.1 + -3.2x * -2.1) + 1.2(2x + -5) = 0 (8.4 + 6.72x) + 1.2(2x + -5) = 0 Reorder the terms: 8.4 + 6.72x + 1.2(-5 + 2x) = 0 8.4 + 6.72x + (-5 * 1.2 + 2x * 1.2) = 0 8.4 + 6.72x + (-6 + 2.4x) = 0 Reorder the terms: 8.4 + -6 + 6.72x + 2.4x = 0 Combine like terms: 8.4 + -6 = 2.4 2.4 + 6.72x + 2.4x = 0 Combine like terms: 6.72x + 2.4x = 9.12x 2.4 + 9.12x = 0 Solving 2.4 + 9.12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 9.12x = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 9.12x = 0 + -2.4 9.12x = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 9.12x = -2.4 Divide each side by '9.12'. x = -0.2631578947 Simplifying x = -0.2631578947
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