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Simplifying -4x + 7y + 8z + -6 = 0 Reorder the terms: -6 + -4x + 7y + 8z = 0 Solving -6 + -4x + 7y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -4x + 7y + 6 + 8z = 0 + 6 Reorder the terms: -6 + 6 + -4x + 7y + 8z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4x + 7y + 8z = 0 + 6 -4x + 7y + 8z = 0 + 6 Combine like terms: 0 + 6 = 6 -4x + 7y + 8z = 6 Add '-7y' to each side of the equation. -4x + 7y + -7y + 8z = 6 + -7y Combine like terms: 7y + -7y = 0 -4x + 0 + 8z = 6 + -7y -4x + 8z = 6 + -7y Add '-8z' to each side of the equation. -4x + 8z + -8z = 6 + -7y + -8z Combine like terms: 8z + -8z = 0 -4x + 0 = 6 + -7y + -8z -4x = 6 + -7y + -8z Divide each side by '-4'. x = -1.5 + 1.75y + 2z Simplifying x = -1.5 + 1.75y + 2z
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