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Simplifying 7(x + 6) = 1 + -6(x + 5) Reorder the terms: 7(6 + x) = 1 + -6(x + 5) (6 * 7 + x * 7) = 1 + -6(x + 5) (42 + 7x) = 1 + -6(x + 5) Reorder the terms: 42 + 7x = 1 + -6(5 + x) 42 + 7x = 1 + (5 * -6 + x * -6) 42 + 7x = 1 + (-30 + -6x) Combine like terms: 1 + -30 = -29 42 + 7x = -29 + -6x Solving 42 + 7x = -29 + -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. 42 + 7x + 6x = -29 + -6x + 6x Combine like terms: 7x + 6x = 13x 42 + 13x = -29 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 13x = -29 + 0 42 + 13x = -29 Add '-42' to each side of the equation. 42 + -42 + 13x = -29 + -42 Combine like terms: 42 + -42 = 0 0 + 13x = -29 + -42 13x = -29 + -42 Combine like terms: -29 + -42 = -71 13x = -71 Divide each side by '13'. x = -5.461538462 Simplifying x = -5.461538462
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