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Simplifying 8(3y + 4z + -7x + 2) = 0 Reorder the terms: 8(2 + -7x + 3y + 4z) = 0 (2 * 8 + -7x * 8 + 3y * 8 + 4z * 8) = 0 (16 + -56x + 24y + 32z) = 0 Solving 16 + -56x + 24y + 32z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -56x + 24y + -16 + 32z = 0 + -16 Reorder the terms: 16 + -16 + -56x + 24y + 32z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -56x + 24y + 32z = 0 + -16 -56x + 24y + 32z = 0 + -16 Combine like terms: 0 + -16 = -16 -56x + 24y + 32z = -16 Add '-24y' to each side of the equation. -56x + 24y + -24y + 32z = -16 + -24y Combine like terms: 24y + -24y = 0 -56x + 0 + 32z = -16 + -24y -56x + 32z = -16 + -24y Add '-32z' to each side of the equation. -56x + 32z + -32z = -16 + -24y + -32z Combine like terms: 32z + -32z = 0 -56x + 0 = -16 + -24y + -32z -56x = -16 + -24y + -32z Divide each side by '-56'. x = 0.2857142857 + 0.4285714286y + 0.5714285714z Simplifying x = 0.2857142857 + 0.4285714286y + 0.5714285714z
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