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Simplifying 6(X + -1) + 11 = 2X + 21 Reorder the terms: 6(-1 + X) + 11 = 2X + 21 (-1 * 6 + X * 6) + 11 = 2X + 21 (-6 + 6X) + 11 = 2X + 21 Reorder the terms: -6 + 11 + 6X = 2X + 21 Combine like terms: -6 + 11 = 5 5 + 6X = 2X + 21 Reorder the terms: 5 + 6X = 21 + 2X Solving 5 + 6X = 21 + 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. 5 + 6X + -2X = 21 + 2X + -2X Combine like terms: 6X + -2X = 4X 5 + 4X = 21 + 2X + -2X Combine like terms: 2X + -2X = 0 5 + 4X = 21 + 0 5 + 4X = 21 Add '-5' to each side of the equation. 5 + -5 + 4X = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 21 + -5 4X = 21 + -5 Combine like terms: 21 + -5 = 16 4X = 16 Divide each side by '4'. X = 4 Simplifying X = 4
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