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Simplifying (5x + 3y) + (10y + 30) + (3x + 20) = 180 Remove parenthesis around (5x + 3y) 5x + 3y + (10y + 30) + (3x + 20) = 180 Reorder the terms: 5x + 3y + (30 + 10y) + (3x + 20) = 180 Remove parenthesis around (30 + 10y) 5x + 3y + 30 + 10y + (3x + 20) = 180 Reorder the terms: 5x + 3y + 30 + 10y + (20 + 3x) = 180 Remove parenthesis around (20 + 3x) 5x + 3y + 30 + 10y + 20 + 3x = 180 Reorder the terms: 30 + 20 + 5x + 3x + 3y + 10y = 180 Combine like terms: 30 + 20 = 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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