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Simplifying 10X + 6(X + -11) = 13(X + 9) Reorder the terms: 10X + 6(-11 + X) = 13(X + 9) 10X + (-11 * 6 + X * 6) = 13(X + 9) 10X + (-66 + 6X) = 13(X + 9) Reorder the terms: -66 + 10X + 6X = 13(X + 9) Combine like terms: 10X + 6X = 16X -66 + 16X = 13(X + 9) Reorder the terms: -66 + 16X = 13(9 + X) -66 + 16X = (9 * 13 + X * 13) -66 + 16X = (117 + 13X) Solving -66 + 16X = 117 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. -66 + 16X + -13X = 117 + 13X + -13X Combine like terms: 16X + -13X = 3X -66 + 3X = 117 + 13X + -13X Combine like terms: 13X + -13X = 0 -66 + 3X = 117 + 0 -66 + 3X = 117 Add '66' to each side of the equation. -66 + 66 + 3X = 117 + 66 Combine like terms: -66 + 66 = 0 0 + 3X = 117 + 66 3X = 117 + 66 Combine like terms: 117 + 66 = 183 3X = 183 Divide each side by '3'. X = 61 Simplifying X = 61
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