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Simplifying 3x + 9z + -4y = 1234 + 7x + -8z + 12y Reorder the terms: 3x + -4y + 9z = 1234 + 7x + -8z + 12y Reorder the terms: 3x + -4y + 9z = 1234 + 7x + 12y + -8z Solving 3x + -4y + 9z = 1234 + 7x + 12y + -8z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3x + -4y + -7x + 9z = 1234 + 7x + 12y + -7x + -8z Reorder the terms: 3x + -7x + -4y + 9z = 1234 + 7x + 12y + -7x + -8z Combine like terms: 3x + -7x = -4x -4x + -4y + 9z = 1234 + 7x + 12y + -7x + -8z Reorder the terms: -4x + -4y + 9z = 1234 + 7x + -7x + 12y + -8z Combine like terms: 7x + -7x = 0 -4x + -4y + 9z = 1234 + 0 + 12y + -8z -4x + -4y + 9z = 1234 + 12y + -8z Add '4y' to each side of the equation. -4x + -4y + 4y + 9z = 1234 + 12y + 4y + -8z Combine like terms: -4y + 4y = 0 -4x + 0 + 9z = 1234 + 12y + 4y + -8z -4x + 9z = 1234 + 12y + 4y + -8z Combine like terms: 12y + 4y = 16y -4x + 9z = 1234 + 16y + -8z Add '-9z' to each side of the equation. -4x + 9z + -9z = 1234 + 16y + -8z + -9z Combine like terms: 9z + -9z = 0 -4x + 0 = 1234 + 16y + -8z + -9z -4x = 1234 + 16y + -8z + -9z Combine like terms: -8z + -9z = -17z -4x = 1234 + 16y + -17z Divide each side by '-4'. x = -308.5 + -4y + 4.25z Simplifying x = -308.5 + -4y + 4.25z
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