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Simplifying 7(x + 1) + 2(1 + -2x) = 0 Reorder the terms: 7(1 + x) + 2(1 + -2x) = 0 (1 * 7 + x * 7) + 2(1 + -2x) = 0 (7 + 7x) + 2(1 + -2x) = 0 7 + 7x + (1 * 2 + -2x * 2) = 0 7 + 7x + (2 + -4x) = 0 Reorder the terms: 7 + 2 + 7x + -4x = 0 Combine like terms: 7 + 2 = 9 9 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 9 + 3x = 0 Solving 9 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 0 + -9 3x = 0 + -9 Combine like terms: 0 + -9 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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