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Simplifying 7(x + -7) = 6(x + 6) Reorder the terms: 7(-7 + x) = 6(x + 6) (-7 * 7 + x * 7) = 6(x + 6) (-49 + 7x) = 6(x + 6) Reorder the terms: -49 + 7x = 6(6 + x) -49 + 7x = (6 * 6 + x * 6) -49 + 7x = (36 + 6x) Solving -49 + 7x = 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. -49 + 7x + -6x = 36 + 6x + -6x Combine like terms: 7x + -6x = 1x -49 + 1x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 1x = 36 + 0 -49 + 1x = 36 Add '49' to each side of the equation. -49 + 49 + 1x = 36 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = 36 + 49 1x = 36 + 49 Combine like terms: 36 + 49 = 85 1x = 85 Divide each side by '1'. x = 85 Simplifying x = 85
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