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Simplifying -6x + -36 = -7(1 + 5x) Reorder the terms: -36 + -6x = -7(1 + 5x) -36 + -6x = (1 * -7 + 5x * -7) -36 + -6x = (-7 + -35x) Solving -36 + -6x = -7 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -36 + -6x + 35x = -7 + -35x + 35x Combine like terms: -6x + 35x = 29x -36 + 29x = -7 + -35x + 35x Combine like terms: -35x + 35x = 0 -36 + 29x = -7 + 0 -36 + 29x = -7 Add '36' to each side of the equation. -36 + 36 + 29x = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 29x = -7 + 36 29x = -7 + 36 Combine like terms: -7 + 36 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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