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