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Simplifying 2 + 6(X + -5) = 11 + -3(X + -9) Reorder the terms: 2 + 6(-5 + X) = 11 + -3(X + -9) 2 + (-5 * 6 + X * 6) = 11 + -3(X + -9) 2 + (-30 + 6X) = 11 + -3(X + -9) Combine like terms: 2 + -30 = -28 -28 + 6X = 11 + -3(X + -9) Reorder the terms: -28 + 6X = 11 + -3(-9 + X) -28 + 6X = 11 + (-9 * -3 + X * -3) -28 + 6X = 11 + (27 + -3X) Combine like terms: 11 + 27 = 38 -28 + 6X = 38 + -3X Solving -28 + 6X = 38 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -28 + 6X + 3X = 38 + -3X + 3X Combine like terms: 6X + 3X = 9X -28 + 9X = 38 + -3X + 3X Combine like terms: -3X + 3X = 0 -28 + 9X = 38 + 0 -28 + 9X = 38 Add '28' to each side of the equation. -28 + 28 + 9X = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 9X = 38 + 28 9X = 38 + 28 Combine like terms: 38 + 28 = 66 9X = 66 Divide each side by '9'. X = 7.333333333 Simplifying X = 7.333333333
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