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Simplifying 5(y + x) + -4z = -3(y + z) Reorder the terms: 5(x + y) + -4z = -3(y + z) (x * 5 + y * 5) + -4z = -3(y + z) (5x + 5y) + -4z = -3(y + z) 5x + 5y + -4z = (y * -3 + z * -3) 5x + 5y + -4z = (-3y + -3z) Solving 5x + 5y + -4z = -3y + -3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5x + 5y + -5y + -4z = -3y + -5y + -3z Combine like terms: 5y + -5y = 0 5x + 0 + -4z = -3y + -5y + -3z 5x + -4z = -3y + -5y + -3z Combine like terms: -3y + -5y = -8y 5x + -4z = -8y + -3z Add '4z' to each side of the equation. 5x + -4z + 4z = -8y + -3z + 4z Combine like terms: -4z + 4z = 0 5x + 0 = -8y + -3z + 4z 5x = -8y + -3z + 4z Combine like terms: -3z + 4z = 1z 5x = -8y + 1z Divide each side by '5'. x = -1.6y + 0.2z Simplifying x = -1.6y + 0.2z
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