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Simplifying 4x + -1(5 + -2x + 6) = -11 + (-5 + 7 + 5x) + -1 Reorder the terms: 4x + -1(5 + 6 + -2x) = -11 + (-5 + 7 + 5x) + -1 Combine like terms: 5 + 6 = 11 4x + -1(11 + -2x) = -11 + (-5 + 7 + 5x) + -1 4x + (11 * -1 + -2x * -1) = -11 + (-5 + 7 + 5x) + -1 4x + (-11 + 2x) = -11 + (-5 + 7 + 5x) + -1 Reorder the terms: -11 + 4x + 2x = -11 + (-5 + 7 + 5x) + -1 Combine like terms: 4x + 2x = 6x -11 + 6x = -11 + (-5 + 7 + 5x) + -1 Combine like terms: -5 + 7 = 2 -11 + 6x = -11 + (2 + 5x) + -1 Remove parenthesis around (2 + 5x) -11 + 6x = -11 + 2 + 5x + -1 Reorder the terms: -11 + 6x = -11 + 2 + -1 + 5x Combine like terms: -11 + 2 = -9 -11 + 6x = -9 + -1 + 5x Combine like terms: -9 + -1 = -10 -11 + 6x = -10 + 5x Solving -11 + 6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x = -10 + 0 -11 + 1x = -10 Add '11' to each side of the equation. -11 + 11 + 1x = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -10 + 11 1x = -10 + 11 Combine like terms: -10 + 11 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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