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