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Simplifying 3x + 2 = -3(x + 1) Reorder the terms: 2 + 3x = -3(x + 1) Reorder the terms: 2 + 3x = -3(1 + x) 2 + 3x = (1 * -3 + x * -3) 2 + 3x = (-3 + -3x) Solving 2 + 3x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 3x + 3x = -3 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = -3 + 0 2 + 6x = -3 Add '-2' to each side of the equation. 2 + -2 + 6x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -3 + -2 6x = -3 + -2 Combine like terms: -3 + -2 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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