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