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Simplifying (3x + 8) + (5x + 4y) = (5x + -20) Reorder the terms: (8 + 3x) + (5x + 4y) = (5x + -20) Remove parenthesis around (8 + 3x) 8 + 3x + (5x + 4y) = (5x + -20) Remove parenthesis around (5x + 4y) 8 + 3x + 5x + 4y = (5x + -20) Combine like terms: 3x + 5x = 8x 8 + 8x + 4y = (5x + -20) Reorder the terms: 8 + 8x + 4y = (-20 + 5x) Remove parenthesis around (-20 + 5x) 8 + 8x + 4y = -20 + 5x Solving 8 + 8x + 4y = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 8x + -5x + 4y = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x + 4y = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x + 4y = -20 + 0 8 + 3x + 4y = -20 Add '-8' to each side of the equation. 8 + 3x + -8 + 4y = -20 + -8 Reorder the terms: 8 + -8 + 3x + 4y = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 3x + 4y = -20 + -8 3x + 4y = -20 + -8 Combine like terms: -20 + -8 = -28 3x + 4y = -28 Add '-4y' to each side of the equation. 3x + 4y + -4y = -28 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = -28 + -4y 3x = -28 + -4y Divide each side by '3'. x = -9.333333333 + -1.333333333y Simplifying x = -9.333333333 + -1.333333333y
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