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Simplifying 6x + 3y = 2(3y + x) + 4 Reorder the terms: 6x + 3y = 2(x + 3y) + 4 6x + 3y = (x * 2 + 3y * 2) + 4 6x + 3y = (2x + 6y) + 4 Reorder the terms: 6x + 3y = 4 + 2x + 6y Solving 6x + 3y = 4 + 2x + 6y 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 = 4 + 2x + -2x + 6y Combine like terms: 6x + -2x = 4x 4x + 3y = 4 + 2x + -2x + 6y Combine like terms: 2x + -2x = 0 4x + 3y = 4 + 0 + 6y 4x + 3y = 4 + 6y Add '-3y' to each side of the equation. 4x + 3y + -3y = 4 + 6y + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 4 + 6y + -3y 4x = 4 + 6y + -3y Combine like terms: 6y + -3y = 3y 4x = 4 + 3y Divide each side by '4'. x = 1 + 0.75y Simplifying x = 1 + 0.75y
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