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Simplifying -1(7x + (-4x + (-2 + 4x)) + -1(5x + 1)) = 0 Remove parenthesis around (-2 + 4x) -1(7x + (-4x + -2 + 4x) + -1(5x + 1)) = 0 Reorder the terms: -1(7x + (-2 + -4x + 4x) + -1(5x + 1)) = 0 Combine like terms: -4x + 4x = 0 -1(7x + (-2 + 0) + -1(5x + 1)) = 0 -1(7x + (-2) + -1(5x + 1)) = 0 -1(7x + -2 + -1(5x + 1)) = 0 Reorder the terms: -1(7x + -2 + -1(1 + 5x)) = 0 -1(7x + -2 + (1 * -1 + 5x * -1)) = 0 -1(7x + -2 + (-1 + -5x)) = 0 Reorder the terms: -1(-2 + -1 + 7x + -5x) = 0 Combine like terms: -2 + -1 = -3 -1(-3 + 7x + -5x) = 0 Combine like terms: 7x + -5x = 2x -1(-3 + 2x) = 0 (-3 * -1 + 2x * -1) = 0 (3 + -2x) = 0 Solving 3 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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