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Simplifying 7(x + 1) = 6 + -2(7x + 7) Reorder the terms: 7(1 + x) = 6 + -2(7x + 7) (1 * 7 + x * 7) = 6 + -2(7x + 7) (7 + 7x) = 6 + -2(7x + 7) Reorder the terms: 7 + 7x = 6 + -2(7 + 7x) 7 + 7x = 6 + (7 * -2 + 7x * -2) 7 + 7x = 6 + (-14 + -14x) Combine like terms: 6 + -14 = -8 7 + 7x = -8 + -14x Solving 7 + 7x = -8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 7 + 7x + 14x = -8 + -14x + 14x Combine like terms: 7x + 14x = 21x 7 + 21x = -8 + -14x + 14x Combine like terms: -14x + 14x = 0 7 + 21x = -8 + 0 7 + 21x = -8 Add '-7' to each side of the equation. 7 + -7 + 21x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 21x = -8 + -7 21x = -8 + -7 Combine like terms: -8 + -7 = -15 21x = -15 Divide each side by '21'. x = -0.7142857143 Simplifying x = -0.7142857143
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