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Simplifying 3(2x + -1y + 1) = 4x + y Reorder the terms: 3(1 + 2x + -1y) = 4x + y (1 * 3 + 2x * 3 + -1y * 3) = 4x + y (3 + 6x + -3y) = 4x + y Solving 3 + 6x + -3y = 4x + y 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. 3 + 6x + -4x + -3y = 4x + -4x + y Combine like terms: 6x + -4x = 2x 3 + 2x + -3y = 4x + -4x + y Combine like terms: 4x + -4x = 0 3 + 2x + -3y = 0 + y 3 + 2x + -3y = y Add '-3' to each side of the equation. 3 + 2x + -3 + -3y = -3 + y Reorder the terms: 3 + -3 + 2x + -3y = -3 + y Combine like terms: 3 + -3 = 0 0 + 2x + -3y = -3 + y 2x + -3y = -3 + y Add '3y' to each side of the equation. 2x + -3y + 3y = -3 + y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -3 + y + 3y 2x = -3 + y + 3y Combine like terms: y + 3y = 4y 2x = -3 + 4y Divide each side by '2'. x = -1.5 + 2y Simplifying x = -1.5 + 2y
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