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Simplifying -9(4x + 1) = 3(2x + -3) Reorder the terms: -9(1 + 4x) = 3(2x + -3) (1 * -9 + 4x * -9) = 3(2x + -3) (-9 + -36x) = 3(2x + -3) Reorder the terms: -9 + -36x = 3(-3 + 2x) -9 + -36x = (-3 * 3 + 2x * 3) -9 + -36x = (-9 + 6x) Add '9' to each side of the equation. -9 + 9 + -36x = -9 + 9 + 6x Combine like terms: -9 + 9 = 0 0 + -36x = -9 + 9 + 6x -36x = -9 + 9 + 6x Combine like terms: -9 + 9 = 0 -36x = 0 + 6x -36x = 6x Solving -36x = 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. -36x + -6x = 6x + -6x Combine like terms: -36x + -6x = -42x -42x = 6x + -6x Combine like terms: 6x + -6x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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