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Simplifying -5(x + -7) + -1(-6x + 8) = 1 Reorder the terms: -5(-7 + x) + -1(-6x + 8) = 1 (-7 * -5 + x * -5) + -1(-6x + 8) = 1 (35 + -5x) + -1(-6x + 8) = 1 Reorder the terms: 35 + -5x + -1(8 + -6x) = 1 35 + -5x + (8 * -1 + -6x * -1) = 1 35 + -5x + (-8 + 6x) = 1 Reorder the terms: 35 + -8 + -5x + 6x = 1 Combine like terms: 35 + -8 = 27 27 + -5x + 6x = 1 Combine like terms: -5x + 6x = 1x 27 + 1x = 1 Solving 27 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1x = 1 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 1 + -27 1x = 1 + -27 Combine like terms: 1 + -27 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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