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Simplifying (5x + 9) + -1(3x + -13) = -2(11 + x) Reorder the terms: (9 + 5x) + -1(3x + -13) = -2(11 + x) Remove parenthesis around (9 + 5x) 9 + 5x + -1(3x + -13) = -2(11 + x) Reorder the terms: 9 + 5x + -1(-13 + 3x) = -2(11 + x) 9 + 5x + (-13 * -1 + 3x * -1) = -2(11 + x) 9 + 5x + (13 + -3x) = -2(11 + x) Reorder the terms: 9 + 13 + 5x + -3x = -2(11 + x) Combine like terms: 9 + 13 = 22 22 + 5x + -3x = -2(11 + x) Combine like terms: 5x + -3x = 2x 22 + 2x = -2(11 + x) 22 + 2x = (11 * -2 + x * -2) 22 + 2x = (-22 + -2x) Solving 22 + 2x = -22 + -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. 22 + 2x + 2x = -22 + -2x + 2x Combine like terms: 2x + 2x = 4x 22 + 4x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 4x = -22 + 0 22 + 4x = -22 Add '-22' to each side of the equation. 22 + -22 + 4x = -22 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = -22 + -22 4x = -22 + -22 Combine like terms: -22 + -22 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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