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Simplifying 2x + 3y = 4(x + y) 2x + 3y = (x * 4 + y * 4) 2x + 3y = (4x + 4y) Solving 2x + 3y = 4x + 4y 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. 2x + -4x + 3y = 4x + -4x + 4y Combine like terms: 2x + -4x = -2x -2x + 3y = 4x + -4x + 4y Combine like terms: 4x + -4x = 0 -2x + 3y = 0 + 4y -2x + 3y = 4y Add '-3y' to each side of the equation. -2x + 3y + -3y = 4y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 4y + -3y -2x = 4y + -3y Combine like terms: 4y + -3y = 1y -2x = 1y Divide each side by '-2'. x = -0.5y Simplifying x = -0.5y
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