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Simplifying 3x + -2(2x + 1) = 2 + -3x Reorder the terms: 3x + -2(1 + 2x) = 2 + -3x 3x + (1 * -2 + 2x * -2) = 2 + -3x 3x + (-2 + -4x) = 2 + -3x Reorder the terms: -2 + 3x + -4x = 2 + -3x Combine like terms: 3x + -4x = -1x -2 + -1x = 2 + -3x Solving -2 + -1x = 2 + -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 + -1x + 3x = 2 + -3x + 3x Combine like terms: -1x + 3x = 2x -2 + 2x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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