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Simplifying -2x + 7z + 8x + 2 + -10x = 0 Reorder the terms: 2 + -2x + 8x + -10x + 7z = 0 Combine like terms: -2x + 8x = 6x 2 + 6x + -10x + 7z = 0 Combine like terms: 6x + -10x = -4x 2 + -4x + 7z = 0 Solving 2 + -4x + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4x + -2 + 7z = 0 + -2 Reorder the terms: 2 + -2 + -4x + 7z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x + 7z = 0 + -2 -4x + 7z = 0 + -2 Combine like terms: 0 + -2 = -2 -4x + 7z = -2 Add '-7z' to each side of the equation. -4x + 7z + -7z = -2 + -7z Combine like terms: 7z + -7z = 0 -4x + 0 = -2 + -7z -4x = -2 + -7z Divide each side by '-4'. x = 0.5 + 1.75z Simplifying x = 0.5 + 1.75z
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