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Simplifying 9x + -84 + 85 = 5x + 77 Reorder the terms: -84 + 85 + 9x = 5x + 77 Combine like terms: -84 + 85 = 1 1 + 9x = 5x + 77 Reorder the terms: 1 + 9x = 77 + 5x Solving 1 + 9x = 77 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 9x + -5x = 77 + 5x + -5x Combine like terms: 9x + -5x = 4x 1 + 4x = 77 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 4x = 77 + 0 1 + 4x = 77 Add '-1' to each side of the equation. 1 + -1 + 4x = 77 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 77 + -1 4x = 77 + -1 Combine like terms: 77 + -1 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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