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Simplifying 2 + -4x = 2(3x + 6) Reorder the terms: 2 + -4x = 2(6 + 3x) 2 + -4x = (6 * 2 + 3x * 2) 2 + -4x = (12 + 6x) Solving 2 + -4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -4x + -6x = 12 + 6x + -6x Combine like terms: -4x + -6x = -10x 2 + -10x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -10x = 12 + 0 2 + -10x = 12 Add '-2' to each side of the equation. 2 + -2 + -10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 12 + -2 -10x = 12 + -2 Combine like terms: 12 + -2 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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