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Simplifying 2x + -1(5x + -6) = 7 + (x + -1) Reorder the terms: 2x + -1(-6 + 5x) = 7 + (x + -1) 2x + (-6 * -1 + 5x * -1) = 7 + (x + -1) 2x + (6 + -5x) = 7 + (x + -1) Reorder the terms: 6 + 2x + -5x = 7 + (x + -1) Combine like terms: 2x + -5x = -3x 6 + -3x = 7 + (x + -1) Reorder the terms: 6 + -3x = 7 + (-1 + x) Remove parenthesis around (-1 + x) 6 + -3x = 7 + -1 + x Combine like terms: 7 + -1 = 6 6 + -3x = 6 + x Add '-6' to each side of the equation. 6 + -6 + -3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 0 + -3x = 6 + -6 + x -3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 -3x = 0 + x -3x = x Solving -3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3x + -1x = x + -1x Combine like terms: -3x + -1x = -4x -4x = x + -1x Combine like terms: x + -1x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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