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Simplifying (20(2x + 2y) + 7y + 3z) = 200 ((2x * 20 + 2y * 20) + 7y + 3z) = 200 ((40x + 40y) + 7y + 3z) = 200 Combine like terms: 40y + 7y = 47y (40x + 47y + 3z) = 200 Remove parenthesis around (40x + 47y + 3z) 40x + 47y + 3z = 200 Solving 40x + 47y + 3z = 200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47y' to each side of the equation. 40x + 47y + -47y + 3z = 200 + -47y Combine like terms: 47y + -47y = 0 40x + 0 + 3z = 200 + -47y 40x + 3z = 200 + -47y Add '-3z' to each side of the equation. 40x + 3z + -3z = 200 + -47y + -3z Combine like terms: 3z + -3z = 0 40x + 0 = 200 + -47y + -3z 40x = 200 + -47y + -3z Divide each side by '40'. x = 5 + -1.175y + -0.075z Simplifying x = 5 + -1.175y + -0.075z
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