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Simplifying 3x + 2(1 + -3(x + 2)) = 2x Reorder the terms: 3x + 2(1 + -3(2 + x)) = 2x 3x + 2(1 + (2 * -3 + x * -3)) = 2x 3x + 2(1 + (-6 + -3x)) = 2x Combine like terms: 1 + -6 = -5 3x + 2(-5 + -3x) = 2x 3x + (-5 * 2 + -3x * 2) = 2x 3x + (-10 + -6x) = 2x Reorder the terms: -10 + 3x + -6x = 2x Combine like terms: 3x + -6x = -3x -10 + -3x = 2x Solving -10 + -3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -3x + -2x = 2x + -2x Combine like terms: -3x + -2x = -5x -10 + -5x = 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -5x = 0 Add '10' to each side of the equation. -10 + 10 + -5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 0 + 10 -5x = 0 + 10 Combine like terms: 0 + 10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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