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Simplifying 2x = 3x + -2(x + -6) Reorder the terms: 2x = 3x + -2(-6 + x) 2x = 3x + (-6 * -2 + x * -2) 2x = 3x + (12 + -2x) Reorder the terms: 2x = 12 + 3x + -2x Combine like terms: 3x + -2x = 1x 2x = 12 + 1x Solving 2x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2x + -1x = 12 + 1x + -1x Combine like terms: 2x + -1x = 1x 1x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 1x = 12 + 0 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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