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Simplifying 4(3x + 5y + 2z) + 3(x + -1z) = s (3x * 4 + 5y * 4 + 2z * 4) + 3(x + -1z) = s (12x + 20y + 8z) + 3(x + -1z) = s 12x + 20y + 8z + (x * 3 + -1z * 3) = s 12x + 20y + 8z + (3x + -3z) = s Reorder the terms: 12x + 3x + 20y + 8z + -3z = s Combine like terms: 12x + 3x = 15x 15x + 20y + 8z + -3z = s Combine like terms: 8z + -3z = 5z 15x + 20y + 5z = s Solving 15x + 20y + 5z = s Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 15x + 20y + -20y + 5z = s + -20y Combine like terms: 20y + -20y = 0 15x + 0 + 5z = s + -20y 15x + 5z = s + -20y Add '-5z' to each side of the equation. 15x + 5z + -5z = s + -20y + -5z Combine like terms: 5z + -5z = 0 15x + 0 = s + -20y + -5z 15x = s + -20y + -5z Divide each side by '15'. x = 0.06666666667s + -1.333333333y + -0.3333333333z Simplifying x = 0.06666666667s + -1.333333333y + -0.3333333333z
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