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Simplifying 6x + -5x + 8z + -7z + 4 = 0 Reorder the terms: 4 + 6x + -5x + 8z + -7z = 0 Combine like terms: 6x + -5x = 1x 4 + 1x + 8z + -7z = 0 Combine like terms: 8z + -7z = 1z 4 + 1x + 1z = 0 Solving 4 + 1x + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 1x + -4 + 1z = 0 + -4 Reorder the terms: 4 + -4 + 1x + 1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1x + 1z = 0 + -4 1x + 1z = 0 + -4 Combine like terms: 0 + -4 = -4 1x + 1z = -4 Add '-1z' to each side of the equation. 1x + 1z + -1z = -4 + -1z Combine like terms: 1z + -1z = 0 1x + 0 = -4 + -1z 1x = -4 + -1z Divide each side by '1'. x = -4 + -1z Simplifying x = -4 + -1z
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