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