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Simplifying 3(2x + y) = 2x + 41 (2x * 3 + y * 3) = 2x + 41 (6x + 3y) = 2x + 41 Reorder the terms: 6x + 3y = 41 + 2x Solving 6x + 3y = 41 + 2x 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. 6x + -2x + 3y = 41 + 2x + -2x Combine like terms: 6x + -2x = 4x 4x + 3y = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 4x + 3y = 41 + 0 4x + 3y = 41 Add '-3y' to each side of the equation. 4x + 3y + -3y = 41 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 41 + -3y 4x = 41 + -3y Divide each side by '4'. x = 10.25 + -0.75y Simplifying x = 10.25 + -0.75y
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