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Simplifying 11(x + -4) = 9(x + 6) Reorder the terms: 11(-4 + x) = 9(x + 6) (-4 * 11 + x * 11) = 9(x + 6) (-44 + 11x) = 9(x + 6) Reorder the terms: -44 + 11x = 9(6 + x) -44 + 11x = (6 * 9 + x * 9) -44 + 11x = (54 + 9x) Solving -44 + 11x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -44 + 11x + -9x = 54 + 9x + -9x Combine like terms: 11x + -9x = 2x -44 + 2x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -44 + 2x = 54 + 0 -44 + 2x = 54 Add '44' to each side of the equation. -44 + 44 + 2x = 54 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 54 + 44 2x = 54 + 44 Combine like terms: 54 + 44 = 98 2x = 98 Divide each side by '2'. x = 49 Simplifying x = 49
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