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Simplifying 2(5x + z) = 3x + 3y + 10 (5x * 2 + z * 2) = 3x + 3y + 10 (10x + 2z) = 3x + 3y + 10 Reorder the terms: 10x + 2z = 10 + 3x + 3y Solving 10x + 2z = 10 + 3x + 3y 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. 10x + -3x + 2z = 10 + 3x + -3x + 3y Combine like terms: 10x + -3x = 7x 7x + 2z = 10 + 3x + -3x + 3y Combine like terms: 3x + -3x = 0 7x + 2z = 10 + 0 + 3y 7x + 2z = 10 + 3y Add '-2z' to each side of the equation. 7x + 2z + -2z = 10 + 3y + -2z Combine like terms: 2z + -2z = 0 7x + 0 = 10 + 3y + -2z 7x = 10 + 3y + -2z Divide each side by '7'. x = 1.428571429 + 0.4285714286y + -0.2857142857z Simplifying x = 1.428571429 + 0.4285714286y + -0.2857142857z
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