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Simplifying 11(x + -5) = 6(x + 5) Reorder the terms: 11(-5 + x) = 6(x + 5) (-5 * 11 + x * 11) = 6(x + 5) (-55 + 11x) = 6(x + 5) Reorder the terms: -55 + 11x = 6(5 + x) -55 + 11x = (5 * 6 + x * 6) -55 + 11x = (30 + 6x) Solving -55 + 11x = 30 + 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. -55 + 11x + -6x = 30 + 6x + -6x Combine like terms: 11x + -6x = 5x -55 + 5x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -55 + 5x = 30 + 0 -55 + 5x = 30 Add '55' to each side of the equation. -55 + 55 + 5x = 30 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = 30 + 55 5x = 30 + 55 Combine like terms: 30 + 55 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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