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Simplifying (5x + -11) + (3x + 1) = 78 Reorder the terms: (-11 + 5x) + (3x + 1) = 78 Remove parenthesis around (-11 + 5x) -11 + 5x + (3x + 1) = 78 Reorder the terms: -11 + 5x + (1 + 3x) = 78 Remove parenthesis around (1 + 3x) -11 + 5x + 1 + 3x = 78 Reorder the terms: -11 + 1 + 5x + 3x = 78 Combine like terms: -11 + 1 = -10 -10 + 5x + 3x = 78 Combine like terms: 5x + 3x = 8x -10 + 8x = 78 Solving -10 + 8x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8x = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 78 + 10 8x = 78 + 10 Combine like terms: 78 + 10 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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