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Simplifying -36 = 7(x + -7) + -6(5 + -6x) Reorder the terms: -36 = 7(-7 + x) + -6(5 + -6x) -36 = (-7 * 7 + x * 7) + -6(5 + -6x) -36 = (-49 + 7x) + -6(5 + -6x) -36 = -49 + 7x + (5 * -6 + -6x * -6) -36 = -49 + 7x + (-30 + 36x) Reorder the terms: -36 = -49 + -30 + 7x + 36x Combine like terms: -49 + -30 = -79 -36 = -79 + 7x + 36x Combine like terms: 7x + 36x = 43x -36 = -79 + 43x Solving -36 = -79 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. -36 + -43x = -79 + 43x + -43x Combine like terms: 43x + -43x = 0 -36 + -43x = -79 + 0 -36 + -43x = -79 Add '36' to each side of the equation. -36 + 36 + -43x = -79 + 36 Combine like terms: -36 + 36 = 0 0 + -43x = -79 + 36 -43x = -79 + 36 Combine like terms: -79 + 36 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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