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Simplifying 2x + -10y + 14z = 3x + -15y + 21z + 15 Reorder the terms: 2x + -10y + 14z = 15 + 3x + -15y + 21z Solving 2x + -10y + 14z = 15 + 3x + -15y + 21z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -10y + -3x + 14z = 15 + 3x + -15y + -3x + 21z Reorder the terms: 2x + -3x + -10y + 14z = 15 + 3x + -15y + -3x + 21z Combine like terms: 2x + -3x = -1x -1x + -10y + 14z = 15 + 3x + -15y + -3x + 21z Reorder the terms: -1x + -10y + 14z = 15 + 3x + -3x + -15y + 21z Combine like terms: 3x + -3x = 0 -1x + -10y + 14z = 15 + 0 + -15y + 21z -1x + -10y + 14z = 15 + -15y + 21z Add '10y' to each side of the equation. -1x + -10y + 10y + 14z = 15 + -15y + 10y + 21z Combine like terms: -10y + 10y = 0 -1x + 0 + 14z = 15 + -15y + 10y + 21z -1x + 14z = 15 + -15y + 10y + 21z Combine like terms: -15y + 10y = -5y -1x + 14z = 15 + -5y + 21z Add '-14z' to each side of the equation. -1x + 14z + -14z = 15 + -5y + 21z + -14z Combine like terms: 14z + -14z = 0 -1x + 0 = 15 + -5y + 21z + -14z -1x = 15 + -5y + 21z + -14z Combine like terms: 21z + -14z = 7z -1x = 15 + -5y + 7z Divide each side by '-1'. x = -15 + 5y + -7z Simplifying x = -15 + 5y + -7z
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