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Simplifying 11(x + -4) = 6x + 1 Reorder the terms: 11(-4 + x) = 6x + 1 (-4 * 11 + x * 11) = 6x + 1 (-44 + 11x) = 6x + 1 Reorder the terms: -44 + 11x = 1 + 6x Solving -44 + 11x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -44 + 11x + -6x = 1 + 6x + -6x Combine like terms: 11x + -6x = 5x -44 + 5x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -44 + 5x = 1 + 0 -44 + 5x = 1 Add '44' to each side of the equation. -44 + 44 + 5x = 1 + 44 Combine like terms: -44 + 44 = 0 0 + 5x = 1 + 44 5x = 1 + 44 Combine like terms: 1 + 44 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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