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Simplifying 8 + 17x + -1 = 5x + 77 + -2x Reorder the terms: 8 + -1 + 17x = 5x + 77 + -2x Combine like terms: 8 + -1 = 7 7 + 17x = 5x + 77 + -2x Reorder the terms: 7 + 17x = 77 + 5x + -2x Combine like terms: 5x + -2x = 3x 7 + 17x = 77 + 3x Solving 7 + 17x = 77 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 17x + -3x = 77 + 3x + -3x Combine like terms: 17x + -3x = 14x 7 + 14x = 77 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 14x = 77 + 0 7 + 14x = 77 Add '-7' to each side of the equation. 7 + -7 + 14x = 77 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 77 + -7 14x = 77 + -7 Combine like terms: 77 + -7 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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