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Simplifying 2 + 3(2X + -3) + -3(4X + 8) + -7 = 0 Reorder the terms: 2 + 3(-3 + 2X) + -3(4X + 8) + -7 = 0 2 + (-3 * 3 + 2X * 3) + -3(4X + 8) + -7 = 0 2 + (-9 + 6X) + -3(4X + 8) + -7 = 0 Reorder the terms: 2 + -9 + 6X + -3(8 + 4X) + -7 = 0 2 + -9 + 6X + (8 * -3 + 4X * -3) + -7 = 0 2 + -9 + 6X + (-24 + -12X) + -7 = 0 Reorder the terms: 2 + -9 + -24 + -7 + 6X + -12X = 0 Combine like terms: 2 + -9 = -7 -7 + -24 + -7 + 6X + -12X = 0 Combine like terms: -7 + -24 = -31 -31 + -7 + 6X + -12X = 0 Combine like terms: -31 + -7 = -38 -38 + 6X + -12X = 0 Combine like terms: 6X + -12X = -6X -38 + -6X = 0 Solving -38 + -6X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -6X = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6X = 0 + 38 -6X = 0 + 38 Combine like terms: 0 + 38 = 38 -6X = 38 Divide each side by '-6'. X = -6.333333333 Simplifying X = -6.333333333
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