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Simplifying 3(x + 1) = -2 + -4x Reorder the terms: 3(1 + x) = -2 + -4x (1 * 3 + x * 3) = -2 + -4x (3 + 3x) = -2 + -4x Solving 3 + 3x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 3x + 4x = -2 + -4x + 4x Combine like terms: 3x + 4x = 7x 3 + 7x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 7x = -2 + 0 3 + 7x = -2 Add '-3' to each side of the equation. 3 + -3 + 7x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -2 + -3 7x = -2 + -3 Combine like terms: -2 + -3 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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