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Simplifying (1.7X + -1(x + y + z)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150 (1.7X + (x * -1 + y * -1 + z * -1)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150 (1.7X + (-1x + -1y + -1z)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150 Remove parenthesis around (1.7X + -1x + -1y + -1z) 1.7X + -1x + -1y + -1z + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150 1.7X + -1x + -1y + -1z + (3.2y + (x * -1 + y * -1 + z * -1)) + (3.3z + -1(x + y + z)) = 150 1.7X + -1x + -1y + -1z + (3.2y + (-1x + -1y + -1z)) + (3.3z + -1(x + y + z)) = 150 Reorder the terms: 1.7X + -1x + -1y + -1z + (-1x + 3.2y + -1y + -1z) + (3.3z + -1(x + y + z)) = 150 Combine like terms: 3.2y + -1y = 2.2y 1.7X + -1x + -1y + -1z + (-1x + 2.2y + -1z) + (3.3z + -1(x + y + z)) = 150 Remove parenthesis around (-1x + 2.2y + -1z) 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + -1(x + y + z)) = 150 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + (x * -1 + y * -1 + z * -1)) = 150 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + (-1x + -1y + -1z)) = 150 Reorder the terms: 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (-1x + -1y + 3.3z + -1z) = 150 Combine like terms: 3.3z + -1z = 2.3z 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (-1x + -1y + 2.3z) = 150 Remove parenthesis around (-1x + -1y + 2.3z) 1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + -1x + -1y + 2.3z = 150 Reorder the terms: 1.7X + -1x + -1x + -1x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150 Combine like terms: -1x + -1x = -2x 1.7X + -2x + -1x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150 Combine like terms: -2x + -1x = -3x 1.7X + -3x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150 Combine like terms: -1y + 2.2y = 1.2y 1.7X + -3x + 1.2y + -1y + -1z + -1z + 2.3z = 150 Combine like terms: 1.2y + -1y = 0.2y 1.7X + -3x + 0.2y + -1z + -1z + 2.3z = 150 Combine like terms: -1z + -1z = -2z 1.7X + -3x + 0.2y + -2z + 2.3z = 150 Combine like terms: -2z + 2.3z = 0.3z 1.7X + -3x + 0.2y + 0.3z = 150 Solving 1.7X + -3x + 0.2y + 0.3z = 150 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. 1.7X + -3x + 0.2y + 3x + 0.3z = 150 + 3x Reorder the terms: 1.7X + -3x + 3x + 0.2y + 0.3z = 150 + 3x Combine like terms: -3x + 3x = 0 1.7X + 0 + 0.2y + 0.3z = 150 + 3x 1.7X + 0.2y + 0.3z = 150 + 3x Add '-0.2y' to each side of the equation. 1.7X + 0.2y + -0.2y + 0.3z = 150 + 3x + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 1.7X + 0.0 + 0.3z = 150 + 3x + -0.2y 1.7X + 0.3z = 150 + 3x + -0.2y Add '-0.3z' to each side of the equation. 1.7X + 0.3z + -0.3z = 150 + 3x + -0.2y + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 1.7X + 0.0 = 150 + 3x + -0.2y + -0.3z 1.7X = 150 + 3x + -0.2y + -0.3z Divide each side by '1.7'. X = 88.23529412 + 1.764705882x + -0.1176470588y + -0.1764705882z Simplifying X = 88.23529412 + 1.764705882x + -0.1176470588y + -0.1764705882z
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