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Simplifying 6x + -3y + 7 = -6x + 2y + -3 Reorder the terms: 7 + 6x + -3y = -6x + 2y + -3 Reorder the terms: 7 + 6x + -3y = -3 + -6x + 2y Solving 7 + 6x + -3y = -3 + -6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 6x + 6x + -3y = -3 + -6x + 6x + 2y Combine like terms: 6x + 6x = 12x 7 + 12x + -3y = -3 + -6x + 6x + 2y Combine like terms: -6x + 6x = 0 7 + 12x + -3y = -3 + 0 + 2y 7 + 12x + -3y = -3 + 2y Add '-7' to each side of the equation. 7 + 12x + -7 + -3y = -3 + -7 + 2y Reorder the terms: 7 + -7 + 12x + -3y = -3 + -7 + 2y Combine like terms: 7 + -7 = 0 0 + 12x + -3y = -3 + -7 + 2y 12x + -3y = -3 + -7 + 2y Combine like terms: -3 + -7 = -10 12x + -3y = -10 + 2y Add '3y' to each side of the equation. 12x + -3y + 3y = -10 + 2y + 3y Combine like terms: -3y + 3y = 0 12x + 0 = -10 + 2y + 3y 12x = -10 + 2y + 3y Combine like terms: 2y + 3y = 5y 12x = -10 + 5y Divide each side by '12'. x = -0.8333333333 + 0.4166666667y Simplifying x = -0.8333333333 + 0.4166666667y
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