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Simplifying 3(12x + -9) = 3(-4x + 7) Reorder the terms: 3(-9 + 12x) = 3(-4x + 7) (-9 * 3 + 12x * 3) = 3(-4x + 7) (-27 + 36x) = 3(-4x + 7) Reorder the terms: -27 + 36x = 3(7 + -4x) -27 + 36x = (7 * 3 + -4x * 3) -27 + 36x = (21 + -12x) Solving -27 + 36x = 21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -27 + 36x + 12x = 21 + -12x + 12x Combine like terms: 36x + 12x = 48x -27 + 48x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 48x = 21 + 0 -27 + 48x = 21 Add '27' to each side of the equation. -27 + 27 + 48x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 48x = 21 + 27 48x = 21 + 27 Combine like terms: 21 + 27 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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