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Simplifying -21x + -12y + 37z + -20y + -18z + 52x = 0 Reorder the terms: -21x + 52x + -12y + -20y + 37z + -18z = 0 Combine like terms: -21x + 52x = 31x 31x + -12y + -20y + 37z + -18z = 0 Combine like terms: -12y + -20y = -32y 31x + -32y + 37z + -18z = 0 Combine like terms: 37z + -18z = 19z 31x + -32y + 19z = 0 Solving 31x + -32y + 19z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32y' to each side of the equation. 31x + -32y + 32y + 19z = 0 + 32y Combine like terms: -32y + 32y = 0 31x + 0 + 19z = 0 + 32y 31x + 19z = 0 + 32y Remove the zero: 31x + 19z = 32y Add '-19z' to each side of the equation. 31x + 19z + -19z = 32y + -19z Combine like terms: 19z + -19z = 0 31x + 0 = 32y + -19z 31x = 32y + -19z Divide each side by '31'. x = 1.032258065y + -0.6129032258z Simplifying x = 1.032258065y + -0.6129032258z
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