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Simplifying 5(-5 + 7x) + 6(8 + -4x) = -65 (-5 * 5 + 7x * 5) + 6(8 + -4x) = -65 (-25 + 35x) + 6(8 + -4x) = -65 -25 + 35x + (8 * 6 + -4x * 6) = -65 -25 + 35x + (48 + -24x) = -65 Reorder the terms: -25 + 48 + 35x + -24x = -65 Combine like terms: -25 + 48 = 23 23 + 35x + -24x = -65 Combine like terms: 35x + -24x = 11x 23 + 11x = -65 Solving 23 + 11x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 11x = -65 + -23 Combine like terms: 23 + -23 = 0 0 + 11x = -65 + -23 11x = -65 + -23 Combine like terms: -65 + -23 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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