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Simplifying 5x + 9 + -1(3x + -13) = 2(11 + 2x) Reorder the terms: 5x + 9 + -1(-13 + 3x) = 2(11 + 2x) 5x + 9 + (-13 * -1 + 3x * -1) = 2(11 + 2x) 5x + 9 + (13 + -3x) = 2(11 + 2x) Reorder the terms: 9 + 13 + 5x + -3x = 2(11 + 2x) Combine like terms: 9 + 13 = 22 22 + 5x + -3x = 2(11 + 2x) Combine like terms: 5x + -3x = 2x 22 + 2x = 2(11 + 2x) 22 + 2x = (11 * 2 + 2x * 2) 22 + 2x = (22 + 4x) Add '-22' to each side of the equation. 22 + -22 + 2x = 22 + -22 + 4x Combine like terms: 22 + -22 = 0 0 + 2x = 22 + -22 + 4x 2x = 22 + -22 + 4x Combine like terms: 22 + -22 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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