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Simplifying 3x4 + -24x3 + 49x2 + -8X + 16 = 0 Reorder the terms: 16 + -8X + 49x2 + -24x3 + 3x4 = 0 Solving 16 + -8X + 49x2 + -24x3 + 3x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -8X + 49x2 + -24x3 + -16 + 3x4 = 0 + -16 Reorder the terms: 16 + -16 + -8X + 49x2 + -24x3 + 3x4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8X + 49x2 + -24x3 + 3x4 = 0 + -16 -8X + 49x2 + -24x3 + 3x4 = 0 + -16 Combine like terms: 0 + -16 = -16 -8X + 49x2 + -24x3 + 3x4 = -16 Add '-49x2' to each side of the equation. -8X + 49x2 + -24x3 + -49x2 + 3x4 = -16 + -49x2 Reorder the terms: -8X + 49x2 + -49x2 + -24x3 + 3x4 = -16 + -49x2 Combine like terms: 49x2 + -49x2 = 0 -8X + 0 + -24x3 + 3x4 = -16 + -49x2 -8X + -24x3 + 3x4 = -16 + -49x2 Add '24x3' to each side of the equation. -8X + -24x3 + 24x3 + 3x4 = -16 + -49x2 + 24x3 Combine like terms: -24x3 + 24x3 = 0 -8X + 0 + 3x4 = -16 + -49x2 + 24x3 -8X + 3x4 = -16 + -49x2 + 24x3 Add '-3x4' to each side of the equation. -8X + 3x4 + -3x4 = -16 + -49x2 + 24x3 + -3x4 Combine like terms: 3x4 + -3x4 = 0 -8X + 0 = -16 + -49x2 + 24x3 + -3x4 -8X = -16 + -49x2 + 24x3 + -3x4 Divide each side by '-8'. X = 2 + 6.125x2 + -3x3 + 0.375x4 Simplifying X = 2 + 6.125x2 + -3x3 + 0.375x4
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