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