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Simplifying 11(x + -2) = 6x + 13 Reorder the terms: 11(-2 + x) = 6x + 13 (-2 * 11 + x * 11) = 6x + 13 (-22 + 11x) = 6x + 13 Reorder the terms: -22 + 11x = 13 + 6x Solving -22 + 11x = 13 + 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. -22 + 11x + -6x = 13 + 6x + -6x Combine like terms: 11x + -6x = 5x -22 + 5x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 5x = 13 + 0 -22 + 5x = 13 Add '22' to each side of the equation. -22 + 22 + 5x = 13 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 13 + 22 5x = 13 + 22 Combine like terms: 13 + 22 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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