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Simplifying 4x + 5y + -2 = 2x + y + 14 Reorder the terms: -2 + 4x + 5y = 2x + y + 14 Reorder the terms: -2 + 4x + 5y = 14 + 2x + y Solving -2 + 4x + 5y = 14 + 2x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 4x + -2x + 5y = 14 + 2x + -2x + y Combine like terms: 4x + -2x = 2x -2 + 2x + 5y = 14 + 2x + -2x + y Combine like terms: 2x + -2x = 0 -2 + 2x + 5y = 14 + 0 + y -2 + 2x + 5y = 14 + y Add '2' to each side of the equation. -2 + 2x + 2 + 5y = 14 + 2 + y Reorder the terms: -2 + 2 + 2x + 5y = 14 + 2 + y Combine like terms: -2 + 2 = 0 0 + 2x + 5y = 14 + 2 + y 2x + 5y = 14 + 2 + y Combine like terms: 14 + 2 = 16 2x + 5y = 16 + y Add '-5y' to each side of the equation. 2x + 5y + -5y = 16 + y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 16 + y + -5y 2x = 16 + y + -5y Combine like terms: y + -5y = -4y 2x = 16 + -4y Divide each side by '2'. x = 8 + -2y Simplifying x = 8 + -2y
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