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Simplifying 11 + -1(x + 6) = 4x + -5 Reorder the terms: 11 + -1(6 + x) = 4x + -5 11 + (6 * -1 + x * -1) = 4x + -5 11 + (-6 + -1x) = 4x + -5 Combine like terms: 11 + -6 = 5 5 + -1x = 4x + -5 Reorder the terms: 5 + -1x = -5 + 4x Solving 5 + -1x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -1x + -4x = -5 + 4x + -4x Combine like terms: -1x + -4x = -5x 5 + -5x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -5x = -5 + 0 5 + -5x = -5 Add '-5' to each side of the equation. 5 + -5 + -5x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -5 + -5 -5x = -5 + -5 Combine like terms: -5 + -5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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