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