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Simplifying -6(6x + -4) + 5(3 + -7x) = -65x Reorder the terms: -6(-4 + 6x) + 5(3 + -7x) = -65x (-4 * -6 + 6x * -6) + 5(3 + -7x) = -65x (24 + -36x) + 5(3 + -7x) = -65x 24 + -36x + (3 * 5 + -7x * 5) = -65x 24 + -36x + (15 + -35x) = -65x Reorder the terms: 24 + 15 + -36x + -35x = -65x Combine like terms: 24 + 15 = 39 39 + -36x + -35x = -65x Combine like terms: -36x + -35x = -71x 39 + -71x = -65x Solving 39 + -71x = -65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65x' to each side of the equation. 39 + -71x + 65x = -65x + 65x Combine like terms: -71x + 65x = -6x 39 + -6x = -65x + 65x Combine like terms: -65x + 65x = 0 39 + -6x = 0 Add '-39' to each side of the equation. 39 + -39 + -6x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -6x = 0 + -39 -6x = 0 + -39 Combine like terms: 0 + -39 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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