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Simplifying (5X + 3Y) + (3X + 20) + (10Y + 30) = 180 Remove parenthesis around (5X + 3Y) 5X + 3Y + (3X + 20) + (10Y + 30) = 180 Reorder the terms: 5X + 3Y + (20 + 3X) + (10Y + 30) = 180 Remove parenthesis around (20 + 3X) 5X + 3Y + 20 + 3X + (10Y + 30) = 180 Reorder the terms: 5X + 3Y + 20 + 3X + (30 + 10Y) = 180 Remove parenthesis around (30 + 10Y) 5X + 3Y + 20 + 3X + 30 + 10Y = 180 Reorder the terms: 20 + 30 + 5X + 3X + 3Y + 10Y = 180 Combine like terms: 20 + 30 = 50 50 + 5X + 3X + 3Y + 10Y = 180 Combine like terms: 5X + 3X = 8X 50 + 8X + 3Y + 10Y = 180 Combine like terms: 3Y + 10Y = 13Y 50 + 8X + 13Y = 180 Solving 50 + 8X + 13Y = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 8X + -50 + 13Y = 180 + -50 Reorder the terms: 50 + -50 + 8X + 13Y = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 8X + 13Y = 180 + -50 8X + 13Y = 180 + -50 Combine like terms: 180 + -50 = 130 8X + 13Y = 130 Add '-13Y' to each side of the equation. 8X + 13Y + -13Y = 130 + -13Y Combine like terms: 13Y + -13Y = 0 8X + 0 = 130 + -13Y 8X = 130 + -13Y Divide each side by '8'. X = 16.25 + -1.625Y Simplifying X = 16.25 + -1.625Y
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