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