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Simplifying -5(x + -7) = 1 + x Reorder the terms: -5(-7 + x) = 1 + x (-7 * -5 + x * -5) = 1 + x (35 + -5x) = 1 + x Solving 35 + -5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + -5x + -1x = 1 + x + -1x Combine like terms: -5x + -1x = -6x 35 + -6x = 1 + x + -1x Combine like terms: x + -1x = 0 35 + -6x = 1 + 0 35 + -6x = 1 Add '-35' to each side of the equation. 35 + -35 + -6x = 1 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = 1 + -35 -6x = 1 + -35 Combine like terms: 1 + -35 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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