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Simplifying 2y + 6z + -4x = 32z + -6x + 4y Reorder the terms: -4x + 2y + 6z = 32z + -6x + 4y Reorder the terms: -4x + 2y + 6z = -6x + 4y + 32z Solving -4x + 2y + 6z = -6x + 4y + 32z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4x + 2y + 6x + 6z = -6x + 4y + 6x + 32z Reorder the terms: -4x + 6x + 2y + 6z = -6x + 4y + 6x + 32z Combine like terms: -4x + 6x = 2x 2x + 2y + 6z = -6x + 4y + 6x + 32z Reorder the terms: 2x + 2y + 6z = -6x + 6x + 4y + 32z Combine like terms: -6x + 6x = 0 2x + 2y + 6z = 0 + 4y + 32z 2x + 2y + 6z = 4y + 32z Add '-2y' to each side of the equation. 2x + 2y + -2y + 6z = 4y + -2y + 32z Combine like terms: 2y + -2y = 0 2x + 0 + 6z = 4y + -2y + 32z 2x + 6z = 4y + -2y + 32z Combine like terms: 4y + -2y = 2y 2x + 6z = 2y + 32z Add '-6z' to each side of the equation. 2x + 6z + -6z = 2y + 32z + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 2y + 32z + -6z 2x = 2y + 32z + -6z Combine like terms: 32z + -6z = 26z 2x = 2y + 26z Divide each side by '2'. x = y + 13z Simplifying x = y + 13z
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