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Simplifying 2x + 3y + 16 = 5y + 4x Reorder the terms: 16 + 2x + 3y = 5y + 4x Reorder the terms: 16 + 2x + 3y = 4x + 5y Solving 16 + 2x + 3y = 4x + 5y 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. 16 + 2x + -4x + 3y = 4x + -4x + 5y Combine like terms: 2x + -4x = -2x 16 + -2x + 3y = 4x + -4x + 5y Combine like terms: 4x + -4x = 0 16 + -2x + 3y = 0 + 5y 16 + -2x + 3y = 5y Add '-16' to each side of the equation. 16 + -2x + -16 + 3y = -16 + 5y Reorder the terms: 16 + -16 + -2x + 3y = -16 + 5y Combine like terms: 16 + -16 = 0 0 + -2x + 3y = -16 + 5y -2x + 3y = -16 + 5y Add '-3y' to each side of the equation. -2x + 3y + -3y = -16 + 5y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -16 + 5y + -3y -2x = -16 + 5y + -3y Combine like terms: 5y + -3y = 2y -2x = -16 + 2y Divide each side by '-2'. x = 8 + -1y Simplifying x = 8 + -1y
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