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Simplifying 6x + 5 = -2x + 77 Reorder the terms: 5 + 6x = -2x + 77 Reorder the terms: 5 + 6x = 77 + -2x Solving 5 + 6x = 77 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 6x + 2x = 77 + -2x + 2x Combine like terms: 6x + 2x = 8x 5 + 8x = 77 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 8x = 77 + 0 5 + 8x = 77 Add '-5' to each side of the equation. 5 + -5 + 8x = 77 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 77 + -5 8x = 77 + -5 Combine like terms: 77 + -5 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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