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Simplifying 25y + 52x + -15z + -7(6y + 3x + 4z) + 10y + -9x + -12z = 0 Reorder the terms: 25y + 52x + -15z + -7(3x + 6y + 4z) + 10y + -9x + -12z = 0 25y + 52x + -15z + (3x * -7 + 6y * -7 + 4z * -7) + 10y + -9x + -12z = 0 25y + 52x + -15z + (-21x + -42y + -28z) + 10y + -9x + -12z = 0 Reorder the terms: 52x + -21x + -9x + 25y + -42y + 10y + -15z + -28z + -12z = 0 Combine like terms: 52x + -21x = 31x 31x + -9x + 25y + -42y + 10y + -15z + -28z + -12z = 0 Combine like terms: 31x + -9x = 22x 22x + 25y + -42y + 10y + -15z + -28z + -12z = 0 Combine like terms: 25y + -42y = -17y 22x + -17y + 10y + -15z + -28z + -12z = 0 Combine like terms: -17y + 10y = -7y 22x + -7y + -15z + -28z + -12z = 0 Combine like terms: -15z + -28z = -43z 22x + -7y + -43z + -12z = 0 Combine like terms: -43z + -12z = -55z 22x + -7y + -55z = 0 Solving 22x + -7y + -55z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 22x + -7y + 7y + -55z = 0 + 7y Combine like terms: -7y + 7y = 0 22x + 0 + -55z = 0 + 7y 22x + -55z = 0 + 7y Remove the zero: 22x + -55z = 7y Add '55z' to each side of the equation. 22x + -55z + 55z = 7y + 55z Combine like terms: -55z + 55z = 0 22x + 0 = 7y + 55z 22x = 7y + 55z Divide each side by '22'. x = 0.3181818182y + 2.5z Simplifying x = 0.3181818182y + 2.5z
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