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Simplifying 6x + 2y = 4 + 2x + -3y Solving 6x + 2y = 4 + 2x + -3y 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 + 2y = 4 + 2x + -2x + -3y Combine like terms: 6x + -2x = 4x 4x + 2y = 4 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 4x + 2y = 4 + 0 + -3y 4x + 2y = 4 + -3y Add '-2y' to each side of the equation. 4x + 2y + -2y = 4 + -3y + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 4 + -3y + -2y 4x = 4 + -3y + -2y Combine like terms: -3y + -2y = -5y 4x = 4 + -5y Divide each side by '4'. x = 1 + -1.25y Simplifying x = 1 + -1.25y
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