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Simplifying 3(-2x + -1) = 9(3x + -4) Reorder the terms: 3(-1 + -2x) = 9(3x + -4) (-1 * 3 + -2x * 3) = 9(3x + -4) (-3 + -6x) = 9(3x + -4) Reorder the terms: -3 + -6x = 9(-4 + 3x) -3 + -6x = (-4 * 9 + 3x * 9) -3 + -6x = (-36 + 27x) Solving -3 + -6x = -36 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -3 + -6x + -27x = -36 + 27x + -27x Combine like terms: -6x + -27x = -33x -3 + -33x = -36 + 27x + -27x Combine like terms: 27x + -27x = 0 -3 + -33x = -36 + 0 -3 + -33x = -36 Add '3' to each side of the equation. -3 + 3 + -33x = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -33x = -36 + 3 -33x = -36 + 3 Combine like terms: -36 + 3 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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