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Simplifying (6x + -2x + 7) + -1(7x + -5x + 6) = 0 Reorder the terms: (7 + 6x + -2x) + -1(7x + -5x + 6) = 0 Combine like terms: 6x + -2x = 4x (7 + 4x) + -1(7x + -5x + 6) = 0 Remove parenthesis around (7 + 4x) 7 + 4x + -1(7x + -5x + 6) = 0 Reorder the terms: 7 + 4x + -1(6 + 7x + -5x) = 0 Combine like terms: 7x + -5x = 2x 7 + 4x + -1(6 + 2x) = 0 7 + 4x + (6 * -1 + 2x * -1) = 0 7 + 4x + (-6 + -2x) = 0 Reorder the terms: 7 + -6 + 4x + -2x = 0 Combine like terms: 7 + -6 = 1 1 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 1 + 2x = 0 Solving 1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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