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Simplifying 2 + -1(13 + -1x) = -1(x + -9) + -6 2 + (13 * -1 + -1x * -1) = -1(x + -9) + -6 2 + (-13 + 1x) = -1(x + -9) + -6 Combine like terms: 2 + -13 = -11 -11 + 1x = -1(x + -9) + -6 Reorder the terms: -11 + 1x = -1(-9 + x) + -6 -11 + 1x = (-9 * -1 + x * -1) + -6 -11 + 1x = (9 + -1x) + -6 Reorder the terms: -11 + 1x = 9 + -6 + -1x Combine like terms: 9 + -6 = 3 -11 + 1x = 3 + -1x Solving -11 + 1x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 1x + x = 3 + -1x + x Combine like terms: 1x + x = 2x -11 + 2x = 3 + -1x + x Combine like terms: -1x + x = 0 -11 + 2x = 3 + 0 -11 + 2x = 3 Add '11' to each side of the equation. -11 + 11 + 2x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 3 + 11 2x = 3 + 11 Combine like terms: 3 + 11 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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