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Simplifying 6(3x + -6) = 6x + 12 Reorder the terms: 6(-6 + 3x) = 6x + 12 (-6 * 6 + 3x * 6) = 6x + 12 (-36 + 18x) = 6x + 12 Reorder the terms: -36 + 18x = 12 + 6x Solving -36 + 18x = 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. -36 + 18x + -6x = 12 + 6x + -6x Combine like terms: 18x + -6x = 12x -36 + 12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 12x = 12 + 0 -36 + 12x = 12 Add '36' to each side of the equation. -36 + 36 + 12x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 12 + 36 12x = 12 + 36 Combine like terms: 12 + 36 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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