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Simplifying (x + 40) + (5y) + (7x + 20) = 270 Reorder the terms: (40 + x) + (5y) + (7x + 20) = 270 Remove parenthesis around (40 + x) 40 + x + (5y) + (7x + 20) = 270 Reorder the terms: 40 + x + (5y) + (20 + 7x) = 270 Remove parenthesis around (20 + 7x) 40 + x + (5y) + 20 + 7x = 270 Reorder the terms: 40 + 20 + x + 7x + (5y) = 270 Combine like terms: 40 + 20 = 60 60 + x + 7x + (5y) = 270 Combine like terms: x + 7x = 8x 60 + 8x + (5y) = 270 Solving 60 + 8x + (5y) = 270 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 8x + -60 + (5y) = 270 + -60 Reorder the terms: 60 + -60 + 8x + (5y) = 270 + -60 Combine like terms: 60 + -60 = 0 0 + 8x + (5y) = 270 + -60 8x + (5y) = 270 + -60 Combine like terms: 270 + -60 = 210 8x + (5y) = 210 Add '(-5y)' to each side of the equation. 8x + (5y) + (-5y) = 210 + (-5y) Combine like terms: (5y) + (-5y) = 0 8x + 0 = 210 + (-5y) 8x = 210 + (-5y) Divide each side by '8'. x = 26.25 + (-0.625y) Simplifying x = 26.25 + (-0.625y)
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