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Simplifying 2(x + -13) + 20 = x + -11 Reorder the terms: 2(-13 + x) + 20 = x + -11 (-13 * 2 + x * 2) + 20 = x + -11 (-26 + 2x) + 20 = x + -11 Reorder the terms: -26 + 20 + 2x = x + -11 Combine like terms: -26 + 20 = -6 -6 + 2x = x + -11 Reorder the terms: -6 + 2x = -11 + x Solving -6 + 2x = -11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = -11 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = -11 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = -11 + 0 -6 + 1x = -11 Add '6' to each side of the equation. -6 + 6 + 1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -11 + 6 1x = -11 + 6 Combine like terms: -11 + 6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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