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Simplifying 3(4x + -9) = 6x + 189 Reorder the terms: 3(-9 + 4x) = 6x + 189 (-9 * 3 + 4x * 3) = 6x + 189 (-27 + 12x) = 6x + 189 Reorder the terms: -27 + 12x = 189 + 6x Solving -27 + 12x = 189 + 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. -27 + 12x + -6x = 189 + 6x + -6x Combine like terms: 12x + -6x = 6x -27 + 6x = 189 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 6x = 189 + 0 -27 + 6x = 189 Add '27' to each side of the equation. -27 + 27 + 6x = 189 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 189 + 27 6x = 189 + 27 Combine like terms: 189 + 27 = 216 6x = 216 Divide each side by '6'. x = 36 Simplifying x = 36
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