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Simplifying 3x + 4 + 2(x + 1) = -7x + -6 Reorder the terms: 3x + 4 + 2(1 + x) = -7x + -6 3x + 4 + (1 * 2 + x * 2) = -7x + -6 3x + 4 + (2 + 2x) = -7x + -6 Reorder the terms: 4 + 2 + 3x + 2x = -7x + -6 Combine like terms: 4 + 2 = 6 6 + 3x + 2x = -7x + -6 Combine like terms: 3x + 2x = 5x 6 + 5x = -7x + -6 Reorder the terms: 6 + 5x = -6 + -7x Solving 6 + 5x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x = -6 + -7x + 7x Combine like terms: 5x + 7x = 12x 6 + 12x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 12x = -6 + 0 6 + 12x = -6 Add '-6' to each side of the equation. 6 + -6 + 12x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -6 + -6 12x = -6 + -6 Combine like terms: -6 + -6 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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