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Simplifying (x + 2) + -1(x + -9) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) Reorder the terms: (2 + x) + -1(x + -9) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) Remove parenthesis around (2 + x) 2 + x + -1(x + -9) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) Reorder the terms: 2 + x + -1(-9 + x) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) 2 + x + (-9 * -1 + x * -1) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) 2 + x + (9 + -1x) + (x + -5) = (x + 18) + (2 + -1x) + -1(7 + -2x) Reorder the terms: 2 + x + 9 + -1x + (-5 + x) = (x + 18) + (2 + -1x) + -1(7 + -2x) Remove parenthesis around (-5 + x) 2 + x + 9 + -1x + -5 + x = (x + 18) + (2 + -1x) + -1(7 + -2x) Reorder the terms: 2 + 9 + -5 + x + -1x + x = (x + 18) + (2 + -1x) + -1(7 + -2x) Combine like terms: 2 + 9 = 11 11 + -5 + x + -1x + x = (x + 18) + (2 + -1x) + -1(7 + -2x) Combine like terms: 11 + -5 = 6 6 + x + -1x + x = (x + 18) + (2 + -1x) + -1(7 + -2x) Combine like terms: x + -1x = 0 6 + 0 + x = (x + 18) + (2 + -1x) + -1(7 + -2x) 6 + x = (x + 18) + (2 + -1x) + -1(7 + -2x) Reorder the terms: 6 + x = (18 + x) + (2 + -1x) + -1(7 + -2x) Remove parenthesis around (18 + x) 6 + x = 18 + x + (2 + -1x) + -1(7 + -2x) Remove parenthesis around (2 + -1x) 6 + x = 18 + x + 2 + -1x + -1(7 + -2x) 6 + x = 18 + x + 2 + -1x + (7 * -1 + -2x * -1) 6 + x = 18 + x + 2 + -1x + (-7 + 2x) Reorder the terms: 6 + x = 18 + 2 + -7 + x + -1x + 2x Combine like terms: 18 + 2 = 20 6 + x = 20 + -7 + x + -1x + 2x Combine like terms: 20 + -7 = 13 6 + x = 13 + x + -1x + 2x Combine like terms: x + -1x = 0 6 + x = 13 + 0 + 2x 6 + x = 13 + 2x Solving 6 + x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + x + -2x = 13 + 2x + -2x Combine like terms: x + -2x = -1x 6 + -1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 13 + 0 6 + -1x = 13 Add '-6' to each side of the equation. 6 + -6 + -1x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 13 + -6 -1x = 13 + -6 Combine like terms: 13 + -6 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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