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Simplifying 3(4x + -6) = 6x + 12 Reorder the terms: 3(-6 + 4x) = 6x + 12 (-6 * 3 + 4x * 3) = 6x + 12 (-18 + 12x) = 6x + 12 Reorder the terms: -18 + 12x = 12 + 6x Solving -18 + 12x = 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. -18 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x -18 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 6x = 12 + 0 -18 + 6x = 12 Add '18' to each side of the equation. -18 + 18 + 6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 12 + 18 6x = 12 + 18 Combine like terms: 12 + 18 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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