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Simplifying (3x + -1) + -1(7x + -2) = 0 Reorder the terms: (-1 + 3x) + -1(7x + -2) = 0 Remove parenthesis around (-1 + 3x) -1 + 3x + -1(7x + -2) = 0 Reorder the terms: -1 + 3x + -1(-2 + 7x) = 0 -1 + 3x + (-2 * -1 + 7x * -1) = 0 -1 + 3x + (2 + -7x) = 0 Reorder the terms: -1 + 2 + 3x + -7x = 0 Combine like terms: -1 + 2 = 1 1 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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