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Simplifying (5x + -9) + -1(2x + 11) = 1 Reorder the terms: (-9 + 5x) + -1(2x + 11) = 1 Remove parenthesis around (-9 + 5x) -9 + 5x + -1(2x + 11) = 1 Reorder the terms: -9 + 5x + -1(11 + 2x) = 1 -9 + 5x + (11 * -1 + 2x * -1) = 1 -9 + 5x + (-11 + -2x) = 1 Reorder the terms: -9 + -11 + 5x + -2x = 1 Combine like terms: -9 + -11 = -20 -20 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x -20 + 3x = 1 Solving -20 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 1 + 20 3x = 1 + 20 Combine like terms: 1 + 20 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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