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Simplifying (7x + 1) + -1(-4x + 6) = 0 Reorder the terms: (1 + 7x) + -1(-4x + 6) = 0 Remove parenthesis around (1 + 7x) 1 + 7x + -1(-4x + 6) = 0 Reorder the terms: 1 + 7x + -1(6 + -4x) = 0 1 + 7x + (6 * -1 + -4x * -1) = 0 1 + 7x + (-6 + 4x) = 0 Reorder the terms: 1 + -6 + 7x + 4x = 0 Combine like terms: 1 + -6 = -5 -5 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -5 + 11x = 0 Solving -5 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 0 + 5 11x = 0 + 5 Combine like terms: 0 + 5 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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