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