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Simplifying 6(x + -2) = 12 + -12 + -6x Reorder the terms: 6(-2 + x) = 12 + -12 + -6x (-2 * 6 + x * 6) = 12 + -12 + -6x (-12 + 6x) = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 -12 + 6x = 0 + -6x -12 + 6x = -6x Solving -12 + 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. -12 + 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x -12 + 12x = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 12x = 0 Add '12' to each side of the equation. -12 + 12 + 12x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 0 + 12 12x = 0 + 12 Combine like terms: 0 + 12 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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