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Simplifying (x + 6) + -1(5x + 1) = 0 Reorder the terms: (6 + x) + -1(5x + 1) = 0 Remove parenthesis around (6 + x) 6 + x + -1(5x + 1) = 0 Reorder the terms: 6 + x + -1(1 + 5x) = 0 6 + x + (1 * -1 + 5x * -1) = 0 6 + x + (-1 + -5x) = 0 Reorder the terms: 6 + -1 + x + -5x = 0 Combine like terms: 6 + -1 = 5 5 + x + -5x = 0 Combine like terms: x + -5x = -4x 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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