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Simplifying -1(1 + 7x) = -6(7 + x) + 36 (1 * -1 + 7x * -1) = -6(7 + x) + 36 (-1 + -7x) = -6(7 + x) + 36 -1 + -7x = (7 * -6 + x * -6) + 36 -1 + -7x = (-42 + -6x) + 36 Reorder the terms: -1 + -7x = -42 + 36 + -6x Combine like terms: -42 + 36 = -6 -1 + -7x = -6 + -6x Solving -1 + -7x = -6 + -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. -1 + -7x + 6x = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x -1 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + -1x = -6 + 0 -1 + -1x = -6 Add '1' to each side of the equation. -1 + 1 + -1x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -6 + 1 -1x = -6 + 1 Combine like terms: -6 + 1 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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