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