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Simplifying 11(x + -5) = 2(x + 6) + -13 Reorder the terms: 11(-5 + x) = 2(x + 6) + -13 (-5 * 11 + x * 11) = 2(x + 6) + -13 (-55 + 11x) = 2(x + 6) + -13 Reorder the terms: -55 + 11x = 2(6 + x) + -13 -55 + 11x = (6 * 2 + x * 2) + -13 -55 + 11x = (12 + 2x) + -13 Reorder the terms: -55 + 11x = 12 + -13 + 2x Combine like terms: 12 + -13 = -1 -55 + 11x = -1 + 2x Solving -55 + 11x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -55 + 11x + -2x = -1 + 2x + -2x Combine like terms: 11x + -2x = 9x -55 + 9x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -55 + 9x = -1 + 0 -55 + 9x = -1 Add '55' to each side of the equation. -55 + 55 + 9x = -1 + 55 Combine like terms: -55 + 55 = 0 0 + 9x = -1 + 55 9x = -1 + 55 Combine like terms: -1 + 55 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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