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Simplifying 3(2x + -9) = 7x + 12 Reorder the terms: 3(-9 + 2x) = 7x + 12 (-9 * 3 + 2x * 3) = 7x + 12 (-27 + 6x) = 7x + 12 Reorder the terms: -27 + 6x = 12 + 7x Solving -27 + 6x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -27 + 6x + -7x = 12 + 7x + -7x Combine like terms: 6x + -7x = -1x -27 + -1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + -1x = 12 + 0 -27 + -1x = 12 Add '27' to each side of the equation. -27 + 27 + -1x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 12 + 27 -1x = 12 + 27 Combine like terms: 12 + 27 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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