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Simplifying -6.5(2x + 5) + -1.3(4x + -6) = 0 Reorder the terms: -6.5(5 + 2x) + -1.3(4x + -6) = 0 (5 * -6.5 + 2x * -6.5) + -1.3(4x + -6) = 0 (-32.5 + -13x) + -1.3(4x + -6) = 0 Reorder the terms: -32.5 + -13x + -1.3(-6 + 4x) = 0 -32.5 + -13x + (-6 * -1.3 + 4x * -1.3) = 0 -32.5 + -13x + (7.8 + -5.2x) = 0 Reorder the terms: -32.5 + 7.8 + -13x + -5.2x = 0 Combine like terms: -32.5 + 7.8 = -24.7 -24.7 + -13x + -5.2x = 0 Combine like terms: -13x + -5.2x = -18.2x -24.7 + -18.2x = 0 Solving -24.7 + -18.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24.7' to each side of the equation. -24.7 + 24.7 + -18.2x = 0 + 24.7 Combine like terms: -24.7 + 24.7 = 0.0 0.0 + -18.2x = 0 + 24.7 -18.2x = 0 + 24.7 Combine like terms: 0 + 24.7 = 24.7 -18.2x = 24.7 Divide each side by '-18.2'. x = -1.357142857 Simplifying x = -1.357142857
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