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Simplifying 6(2 + x) = -2(-6 + 3x) (2 * 6 + x * 6) = -2(-6 + 3x) (12 + 6x) = -2(-6 + 3x) 12 + 6x = (-6 * -2 + 3x * -2) 12 + 6x = (12 + -6x) Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + -6x 6x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 6x = 0 + -6x 6x = -6x Solving 6x = -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. 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x 12x = -6x + 6x Combine like terms: -6x + 6x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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