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Simplifying 3 + 7(x + 1) = 6 + -1(5 + 2x) Reorder the terms: 3 + 7(1 + x) = 6 + -1(5 + 2x) 3 + (1 * 7 + x * 7) = 6 + -1(5 + 2x) 3 + (7 + 7x) = 6 + -1(5 + 2x) Combine like terms: 3 + 7 = 10 10 + 7x = 6 + -1(5 + 2x) 10 + 7x = 6 + (5 * -1 + 2x * -1) 10 + 7x = 6 + (-5 + -2x) Combine like terms: 6 + -5 = 1 10 + 7x = 1 + -2x Solving 10 + 7x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 7x + 2x = 1 + -2x + 2x Combine like terms: 7x + 2x = 9x 10 + 9x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 9x = 1 + 0 10 + 9x = 1 Add '-10' to each side of the equation. 10 + -10 + 9x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 1 + -10 9x = 1 + -10 Combine like terms: 1 + -10 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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