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Simplifying 11(x + 4) + 9x = -11(x + -4) Reorder the terms: 11(4 + x) + 9x = -11(x + -4) (4 * 11 + x * 11) + 9x = -11(x + -4) (44 + 11x) + 9x = -11(x + -4) Combine like terms: 11x + 9x = 20x 44 + 20x = -11(x + -4) Reorder the terms: 44 + 20x = -11(-4 + x) 44 + 20x = (-4 * -11 + x * -11) 44 + 20x = (44 + -11x) Add '-44' to each side of the equation. 44 + -44 + 20x = 44 + -44 + -11x Combine like terms: 44 + -44 = 0 0 + 20x = 44 + -44 + -11x 20x = 44 + -44 + -11x Combine like terms: 44 + -44 = 0 20x = 0 + -11x 20x = -11x Solving 20x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 20x + 11x = -11x + 11x Combine like terms: 20x + 11x = 31x 31x = -11x + 11x Combine like terms: -11x + 11x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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