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Simplifying (x + -15) + -1(11 + -2x) = 1 Reorder the terms: (-15 + x) + -1(11 + -2x) = 1 Remove parenthesis around (-15 + x) -15 + x + -1(11 + -2x) = 1 -15 + x + (11 * -1 + -2x * -1) = 1 -15 + x + (-11 + 2x) = 1 Reorder the terms: -15 + -11 + x + 2x = 1 Combine like terms: -15 + -11 = -26 -26 + x + 2x = 1 Combine like terms: x + 2x = 3x -26 + 3x = 1 Solving -26 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 3x = 1 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 1 + 26 3x = 1 + 26 Combine like terms: 1 + 26 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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