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Simplifying 6(x + 6) = 7(x + -7) Reorder the terms: 6(6 + x) = 7(x + -7) (6 * 6 + x * 6) = 7(x + -7) (36 + 6x) = 7(x + -7) Reorder the terms: 36 + 6x = 7(-7 + x) 36 + 6x = (-7 * 7 + x * 7) 36 + 6x = (-49 + 7x) Solving 36 + 6x = -49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 6x + -7x = -49 + 7x + -7x Combine like terms: 6x + -7x = -1x 36 + -1x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -1x = -49 + 0 36 + -1x = -49 Add '-36' to each side of the equation. 36 + -36 + -1x = -49 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = -49 + -36 -1x = -49 + -36 Combine like terms: -49 + -36 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85
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