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Simplifying (x + -15) + -1(2x + -11) = 1 Reorder the terms: (-15 + x) + -1(2x + -11) = 1 Remove parenthesis around (-15 + x) -15 + x + -1(2x + -11) = 1 Reorder the terms: -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 = -4 -4 + x + -2x = 1 Combine like terms: x + -2x = -1x -4 + -1x = 1 Solving -4 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 1 + 4 -1x = 1 + 4 Combine like terms: 1 + 4 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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