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Simplifying 7(x + 5) = 6(x + -7) Reorder the terms: 7(5 + x) = 6(x + -7) (5 * 7 + x * 7) = 6(x + -7) (35 + 7x) = 6(x + -7) Reorder the terms: 35 + 7x = 6(-7 + x) 35 + 7x = (-7 * 6 + x * 6) 35 + 7x = (-42 + 6x) Solving 35 + 7x = -42 + 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. 35 + 7x + -6x = -42 + 6x + -6x Combine like terms: 7x + -6x = 1x 35 + 1x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 1x = -42 + 0 35 + 1x = -42 Add '-35' to each side of the equation. 35 + -35 + 1x = -42 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -42 + -35 1x = -42 + -35 Combine like terms: -42 + -35 = -77 1x = -77 Divide each side by '1'. x = -77 Simplifying x = -77
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