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Simplifying 2x + 43 + (4y + -5x) = 5x + -20 + (4y + -5x) Reorder the terms: 2x + 43 + (-5x + 4y) = 5x + -20 + (4y + -5x) Remove parenthesis around (-5x + 4y) 2x + 43 + -5x + 4y = 5x + -20 + (4y + -5x) Reorder the terms: 43 + 2x + -5x + 4y = 5x + -20 + (4y + -5x) Combine like terms: 2x + -5x = -3x 43 + -3x + 4y = 5x + -20 + (4y + -5x) Reorder the terms: 43 + -3x + 4y = 5x + -20 + (-5x + 4y) Remove parenthesis around (-5x + 4y) 43 + -3x + 4y = 5x + -20 + -5x + 4y Reorder the terms: 43 + -3x + 4y = -20 + 5x + -5x + 4y Combine like terms: 5x + -5x = 0 43 + -3x + 4y = -20 + 0 + 4y 43 + -3x + 4y = -20 + 4y Add '-4y' to each side of the equation. 43 + -3x + 4y + -4y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 43 + -3x + 0 = -20 + 4y + -4y 43 + -3x = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 43 + -3x = -20 + 0 43 + -3x = -20 Solving 43 + -3x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -3x = -20 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = -20 + -43 -3x = -20 + -43 Combine like terms: -20 + -43 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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