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Simplifying (6 + -3x) + -1(-5x + 6) = (7x + 11) + -1(2x + -7) Remove parenthesis around (6 + -3x) 6 + -3x + -1(-5x + 6) = (7x + 11) + -1(2x + -7) Reorder the terms: 6 + -3x + -1(6 + -5x) = (7x + 11) + -1(2x + -7) 6 + -3x + (6 * -1 + -5x * -1) = (7x + 11) + -1(2x + -7) 6 + -3x + (-6 + 5x) = (7x + 11) + -1(2x + -7) Reorder the terms: 6 + -6 + -3x + 5x = (7x + 11) + -1(2x + -7) Combine like terms: 6 + -6 = 0 0 + -3x + 5x = (7x + 11) + -1(2x + -7) -3x + 5x = (7x + 11) + -1(2x + -7) Combine like terms: -3x + 5x = 2x 2x = (7x + 11) + -1(2x + -7) Reorder the terms: 2x = (11 + 7x) + -1(2x + -7) Remove parenthesis around (11 + 7x) 2x = 11 + 7x + -1(2x + -7) Reorder the terms: 2x = 11 + 7x + -1(-7 + 2x) 2x = 11 + 7x + (-7 * -1 + 2x * -1) 2x = 11 + 7x + (7 + -2x) Reorder the terms: 2x = 11 + 7 + 7x + -2x Combine like terms: 11 + 7 = 18 2x = 18 + 7x + -2x Combine like terms: 7x + -2x = 5x 2x = 18 + 5x Solving 2x = 18 + 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. 2x + -5x = 18 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 18 + 0 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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