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Simplifying (x + -7) + -1(2x + 9) = -13 Reorder the terms: (-7 + x) + -1(2x + 9) = -13 Remove parenthesis around (-7 + x) -7 + x + -1(2x + 9) = -13 Reorder the terms: -7 + x + -1(9 + 2x) = -13 -7 + x + (9 * -1 + 2x * -1) = -13 -7 + x + (-9 + -2x) = -13 Reorder the terms: -7 + -9 + x + -2x = -13 Combine like terms: -7 + -9 = -16 -16 + x + -2x = -13 Combine like terms: x + -2x = -1x -16 + -1x = -13 Solving -16 + -1x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -13 + 16 -1x = -13 + 16 Combine like terms: -13 + 16 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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