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Simplifying 6x + y + 10 = 3x + 4y + 16 Reorder the terms: 10 + 6x + y = 3x + 4y + 16 Reorder the terms: 10 + 6x + y = 16 + 3x + 4y Solving 10 + 6x + y = 16 + 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 6x + -3x + y = 16 + 3x + -3x + 4y Combine like terms: 6x + -3x = 3x 10 + 3x + y = 16 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 10 + 3x + y = 16 + 0 + 4y 10 + 3x + y = 16 + 4y Add '-10' to each side of the equation. 10 + 3x + -10 + y = 16 + -10 + 4y Reorder the terms: 10 + -10 + 3x + y = 16 + -10 + 4y Combine like terms: 10 + -10 = 0 0 + 3x + y = 16 + -10 + 4y 3x + y = 16 + -10 + 4y Combine like terms: 16 + -10 = 6 3x + y = 6 + 4y Add '-1y' to each side of the equation. 3x + y + -1y = 6 + 4y + -1y Combine like terms: y + -1y = 0 3x + 0 = 6 + 4y + -1y 3x = 6 + 4y + -1y Combine like terms: 4y + -1y = 3y 3x = 6 + 3y Divide each side by '3'. x = 2 + y Simplifying x = 2 + y
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