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Simplifying (9x + 8) + -1(4x + -5) = 3x + -11 Reorder the terms: (8 + 9x) + -1(4x + -5) = 3x + -11 Remove parenthesis around (8 + 9x) 8 + 9x + -1(4x + -5) = 3x + -11 Reorder the terms: 8 + 9x + -1(-5 + 4x) = 3x + -11 8 + 9x + (-5 * -1 + 4x * -1) = 3x + -11 8 + 9x + (5 + -4x) = 3x + -11 Reorder the terms: 8 + 5 + 9x + -4x = 3x + -11 Combine like terms: 8 + 5 = 13 13 + 9x + -4x = 3x + -11 Combine like terms: 9x + -4x = 5x 13 + 5x = 3x + -11 Reorder the terms: 13 + 5x = -11 + 3x Solving 13 + 5x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 5x + -3x = -11 + 3x + -3x Combine like terms: 5x + -3x = 2x 13 + 2x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 2x = -11 + 0 13 + 2x = -11 Add '-13' to each side of the equation. 13 + -13 + 2x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -11 + -13 2x = -11 + -13 Combine like terms: -11 + -13 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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