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Simplifying 2(5x + 3y + -2z + 7) = 0 Reorder the terms: 2(7 + 5x + 3y + -2z) = 0 (7 * 2 + 5x * 2 + 3y * 2 + -2z * 2) = 0 (14 + 10x + 6y + -4z) = 0 Solving 14 + 10x + 6y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 10x + 6y + -14 + -4z = 0 + -14 Reorder the terms: 14 + -14 + 10x + 6y + -4z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 10x + 6y + -4z = 0 + -14 10x + 6y + -4z = 0 + -14 Combine like terms: 0 + -14 = -14 10x + 6y + -4z = -14 Add '-6y' to each side of the equation. 10x + 6y + -6y + -4z = -14 + -6y Combine like terms: 6y + -6y = 0 10x + 0 + -4z = -14 + -6y 10x + -4z = -14 + -6y Add '4z' to each side of the equation. 10x + -4z + 4z = -14 + -6y + 4z Combine like terms: -4z + 4z = 0 10x + 0 = -14 + -6y + 4z 10x = -14 + -6y + 4z Divide each side by '10'. x = -1.4 + -0.6y + 0.4z Simplifying x = -1.4 + -0.6y + 0.4z
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