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Simplifying 6.5(6x + 4) + -6(3.5x + 2.5) = 0 Reorder the terms: 6.5(4 + 6x) + -6(3.5x + 2.5) = 0 (4 * 6.5 + 6x * 6.5) + -6(3.5x + 2.5) = 0 (26 + 39x) + -6(3.5x + 2.5) = 0 Reorder the terms: 26 + 39x + -6(2.5 + 3.5x) = 0 26 + 39x + (2.5 * -6 + 3.5x * -6) = 0 26 + 39x + (-15 + -21x) = 0 Reorder the terms: 26 + -15 + 39x + -21x = 0 Combine like terms: 26 + -15 = 11 11 + 39x + -21x = 0 Combine like terms: 39x + -21x = 18x 11 + 18x = 0 Solving 11 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18x = 0 + -11 18x = 0 + -11 Combine like terms: 0 + -11 = -11 18x = -11 Divide each side by '18'. x = -0.6111111111 Simplifying x = -0.6111111111
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