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Simplifying 9.7(2x + -3y + 8z) + 2.1z = 3.8(5z + 6y + -11) (2x * 9.7 + -3y * 9.7 + 8z * 9.7) + 2.1z = 3.8(5z + 6y + -11) (19.4x + -29.1y + 77.6z) + 2.1z = 3.8(5z + 6y + -11) Combine like terms: 77.6z + 2.1z = 79.7z 19.4x + -29.1y + 79.7z = 3.8(5z + 6y + -11) Reorder the terms: 19.4x + -29.1y + 79.7z = 3.8(-11 + 6y + 5z) 19.4x + -29.1y + 79.7z = (-11 * 3.8 + 6y * 3.8 + 5z * 3.8) 19.4x + -29.1y + 79.7z = (-41.8 + 22.8y + 19z) Solving 19.4x + -29.1y + 79.7z = -41.8 + 22.8y + 19z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29.1y' to each side of the equation. 19.4x + -29.1y + 29.1y + 79.7z = -41.8 + 22.8y + 29.1y + 19z Combine like terms: -29.1y + 29.1y = 0.0 19.4x + 0.0 + 79.7z = -41.8 + 22.8y + 29.1y + 19z 19.4x + 79.7z = -41.8 + 22.8y + 29.1y + 19z Combine like terms: 22.8y + 29.1y = 51.9y 19.4x + 79.7z = -41.8 + 51.9y + 19z Add '-79.7z' to each side of the equation. 19.4x + 79.7z + -79.7z = -41.8 + 51.9y + 19z + -79.7z Combine like terms: 79.7z + -79.7z = 0.0 19.4x + 0.0 = -41.8 + 51.9y + 19z + -79.7z 19.4x = -41.8 + 51.9y + 19z + -79.7z Combine like terms: 19z + -79.7z = -60.7z 19.4x = -41.8 + 51.9y + -60.7z Divide each side by '19.4'. x = -2.154639175 + 2.675257732y + -3.128865979z Simplifying x = -2.154639175 + 2.675257732y + -3.128865979z
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