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Simplifying 4(3000y + 4000x + 450) + -1(300y + 100x + 25) = 0 Reorder the terms: 4(450 + 4000x + 3000y) + -1(300y + 100x + 25) = 0 (450 * 4 + 4000x * 4 + 3000y * 4) + -1(300y + 100x + 25) = 0 (1800 + 16000x + 12000y) + -1(300y + 100x + 25) = 0 Reorder the terms: 1800 + 16000x + 12000y + -1(25 + 100x + 300y) = 0 1800 + 16000x + 12000y + (25 * -1 + 100x * -1 + 300y * -1) = 0 1800 + 16000x + 12000y + (-25 + -100x + -300y) = 0 Reorder the terms: 1800 + -25 + 16000x + -100x + 12000y + -300y = 0 Combine like terms: 1800 + -25 = 1775 1775 + 16000x + -100x + 12000y + -300y = 0 Combine like terms: 16000x + -100x = 15900x 1775 + 15900x + 12000y + -300y = 0 Combine like terms: 12000y + -300y = 11700y 1775 + 15900x + 11700y = 0 Solving 1775 + 15900x + 11700y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1775' to each side of the equation. 1775 + 15900x + -1775 + 11700y = 0 + -1775 Reorder the terms: 1775 + -1775 + 15900x + 11700y = 0 + -1775 Combine like terms: 1775 + -1775 = 0 0 + 15900x + 11700y = 0 + -1775 15900x + 11700y = 0 + -1775 Combine like terms: 0 + -1775 = -1775 15900x + 11700y = -1775 Add '-11700y' to each side of the equation. 15900x + 11700y + -11700y = -1775 + -11700y Combine like terms: 11700y + -11700y = 0 15900x + 0 = -1775 + -11700y 15900x = -1775 + -11700y Divide each side by '15900'. x = -0.1116352201 + -0.7358490566y Simplifying x = -0.1116352201 + -0.7358490566y
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