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Simplifying -6(x + 7) + -4 = 8 + -65 Reorder the terms: -6(7 + x) + -4 = 8 + -65 (7 * -6 + x * -6) + -4 = 8 + -65 (-42 + -6x) + -4 = 8 + -65 Reorder the terms: -42 + -4 + -6x = 8 + -65 Combine like terms: -42 + -4 = -46 -46 + -6x = 8 + -65 Combine like terms: 8 + -65 = -57 -46 + -6x = -57 Solving -46 + -6x = -57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -6x = -57 + 46 Combine like terms: -46 + 46 = 0 0 + -6x = -57 + 46 -6x = -57 + 46 Combine like terms: -57 + 46 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333
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