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Simplifying -1(x + -6) + -1(-5x + 1) = 0 Reorder the terms: -1(-6 + x) + -1(-5x + 1) = 0 (-6 * -1 + x * -1) + -1(-5x + 1) = 0 (6 + -1x) + -1(-5x + 1) = 0 Reorder the terms: 6 + -1x + -1(1 + -5x) = 0 6 + -1x + (1 * -1 + -5x * -1) = 0 6 + -1x + (-1 + 5x) = 0 Reorder the terms: 6 + -1 + -1x + 5x = 0 Combine like terms: 6 + -1 = 5 5 + -1x + 5x = 0 Combine like terms: -1x + 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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