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Simplifying 65 + -5x = 7x + -17 Reorder the terms: 65 + -5x = -17 + 7x Solving 65 + -5x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 65 + -5x + -7x = -17 + 7x + -7x Combine like terms: -5x + -7x = -12x 65 + -12x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 65 + -12x = -17 + 0 65 + -12x = -17 Add '-65' to each side of the equation. 65 + -65 + -12x = -17 + -65 Combine like terms: 65 + -65 = 0 0 + -12x = -17 + -65 -12x = -17 + -65 Combine like terms: -17 + -65 = -82 -12x = -82 Divide each side by '-12'. x = 6.833333333 Simplifying x = 6.833333333
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