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Simplifying 2X + -3(3X + -9) = 4(-2X + 8) Reorder the terms: 2X + -3(-9 + 3X) = 4(-2X + 8) 2X + (-9 * -3 + 3X * -3) = 4(-2X + 8) 2X + (27 + -9X) = 4(-2X + 8) Reorder the terms: 27 + 2X + -9X = 4(-2X + 8) Combine like terms: 2X + -9X = -7X 27 + -7X = 4(-2X + 8) Reorder the terms: 27 + -7X = 4(8 + -2X) 27 + -7X = (8 * 4 + -2X * 4) 27 + -7X = (32 + -8X) Solving 27 + -7X = 32 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 27 + -7X + 8X = 32 + -8X + 8X Combine like terms: -7X + 8X = 1X 27 + 1X = 32 + -8X + 8X Combine like terms: -8X + 8X = 0 27 + 1X = 32 + 0 27 + 1X = 32 Add '-27' to each side of the equation. 27 + -27 + 1X = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 1X = 32 + -27 1X = 32 + -27 Combine like terms: 32 + -27 = 5 1X = 5 Divide each side by '1'. X = 5 Simplifying X = 5
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