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Simplifying 100x + (20 + 12 + 50) + -5y(-23) = 0 Combine like terms: 20 + 12 = 32 100x + (32 + 50) + -5y(-23) = 0 Combine like terms: 32 + 50 = 82 100x + (82) + -5y(-23) = 0 100x + 82 + -5y(-23) = 0 Reorder the terms for easier multiplication: 100x + 82 + -5 * -23y = 0 Multiply -5 * -23 100x + 82 + 115y = 0 Reorder the terms: 82 + 100x + 115y = 0 Solving 82 + 100x + 115y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + 100x + -82 + 115y = 0 + -82 Reorder the terms: 82 + -82 + 100x + 115y = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 100x + 115y = 0 + -82 100x + 115y = 0 + -82 Combine like terms: 0 + -82 = -82 100x + 115y = -82 Add '-115y' to each side of the equation. 100x + 115y + -115y = -82 + -115y Combine like terms: 115y + -115y = 0 100x + 0 = -82 + -115y 100x = -82 + -115y Divide each side by '100'. x = -0.82 + -1.15y Simplifying x = -0.82 + -1.15y
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