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Simplifying 6x + 3y = -3x + 6 Reorder the terms: 6x + 3y = 6 + -3x Solving 6x + 3y = 6 + -3x 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. 6x + 3x + 3y = 6 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x + 3y = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 9x + 3y = 6 + 0 9x + 3y = 6 Add '-3y' to each side of the equation. 9x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 9x + 0 = 6 + -3y 9x = 6 + -3y Divide each side by '9'. x = 0.6666666667 + -0.3333333333y Simplifying x = 0.6666666667 + -0.3333333333y
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