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Simplifying 3(4x + -12) = 6x + 18 Reorder the terms: 3(-12 + 4x) = 6x + 18 (-12 * 3 + 4x * 3) = 6x + 18 (-36 + 12x) = 6x + 18 Reorder the terms: -36 + 12x = 18 + 6x Solving -36 + 12x = 18 + 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 + 12x + -6x = 18 + 6x + -6x Combine like terms: 12x + -6x = 6x -36 + 6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 6x = 18 + 0 -36 + 6x = 18 Add '36' to each side of the equation. -36 + 36 + 6x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 18 + 36 6x = 18 + 36 Combine like terms: 18 + 36 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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