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Simplifying 7(x + 1) = 5 + -5(7x + 6) Reorder the terms: 7(1 + x) = 5 + -5(7x + 6) (1 * 7 + x * 7) = 5 + -5(7x + 6) (7 + 7x) = 5 + -5(7x + 6) Reorder the terms: 7 + 7x = 5 + -5(6 + 7x) 7 + 7x = 5 + (6 * -5 + 7x * -5) 7 + 7x = 5 + (-30 + -35x) Combine like terms: 5 + -30 = -25 7 + 7x = -25 + -35x Solving 7 + 7x = -25 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 7 + 7x + 35x = -25 + -35x + 35x Combine like terms: 7x + 35x = 42x 7 + 42x = -25 + -35x + 35x Combine like terms: -35x + 35x = 0 7 + 42x = -25 + 0 7 + 42x = -25 Add '-7' to each side of the equation. 7 + -7 + 42x = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 42x = -25 + -7 42x = -25 + -7 Combine like terms: -25 + -7 = -32 42x = -32 Divide each side by '42'. x = -0.7619047619 Simplifying x = -0.7619047619
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