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Simplifying 4(2X + -1) + -3(3X + 1) = 9(x + -4) Reorder the terms: 4(-1 + 2X) + -3(3X + 1) = 9(x + -4) (-1 * 4 + 2X * 4) + -3(3X + 1) = 9(x + -4) (-4 + 8X) + -3(3X + 1) = 9(x + -4) Reorder the terms: -4 + 8X + -3(1 + 3X) = 9(x + -4) -4 + 8X + (1 * -3 + 3X * -3) = 9(x + -4) -4 + 8X + (-3 + -9X) = 9(x + -4) Reorder the terms: -4 + -3 + 8X + -9X = 9(x + -4) Combine like terms: -4 + -3 = -7 -7 + 8X + -9X = 9(x + -4) Combine like terms: 8X + -9X = -1X -7 + -1X = 9(x + -4) Reorder the terms: -7 + -1X = 9(-4 + x) -7 + -1X = (-4 * 9 + x * 9) -7 + -1X = (-36 + 9x) Solving -7 + -1X = -36 + 9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1X = -36 + 7 + 9x Combine like terms: -7 + 7 = 0 0 + -1X = -36 + 7 + 9x -1X = -36 + 7 + 9x Combine like terms: -36 + 7 = -29 -1X = -29 + 9x Divide each side by '-1'. X = 29 + -9x Simplifying X = 29 + -9x
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