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Simplifying 20 + -1(x + y) + (3x + 5y) = 0 20 + (x * -1 + y * -1) + (3x + 5y) = 0 20 + (-1x + -1y) + (3x + 5y) = 0 Remove parenthesis around (3x + 5y) 20 + -1x + -1y + 3x + 5y = 0 Reorder the terms: 20 + -1x + 3x + -1y + 5y = 0 Combine like terms: -1x + 3x = 2x 20 + 2x + -1y + 5y = 0 Combine like terms: -1y + 5y = 4y 20 + 2x + 4y = 0 Solving 20 + 2x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 2x + -20 + 4y = 0 + -20 Reorder the terms: 20 + -20 + 2x + 4y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2x + 4y = 0 + -20 2x + 4y = 0 + -20 Combine like terms: 0 + -20 = -20 2x + 4y = -20 Add '-4y' to each side of the equation. 2x + 4y + -4y = -20 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -20 + -4y 2x = -20 + -4y Divide each side by '2'. x = -10 + -2y Simplifying x = -10 + -2y
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