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Simplifying (8x + -77) = (3x + 38) Reorder the terms: (-77 + 8x) = (3x + 38) Remove parenthesis around (-77 + 8x) -77 + 8x = (3x + 38) Reorder the terms: -77 + 8x = (38 + 3x) Remove parenthesis around (38 + 3x) -77 + 8x = 38 + 3x Solving -77 + 8x = 38 + 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. -77 + 8x + -3x = 38 + 3x + -3x Combine like terms: 8x + -3x = 5x -77 + 5x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -77 + 5x = 38 + 0 -77 + 5x = 38 Add '77' to each side of the equation. -77 + 77 + 5x = 38 + 77 Combine like terms: -77 + 77 = 0 0 + 5x = 38 + 77 5x = 38 + 77 Combine like terms: 38 + 77 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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