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Simplifying 10x + -3y + 6 = 7x + -9y + 12 Reorder the terms: 6 + 10x + -3y = 7x + -9y + 12 Reorder the terms: 6 + 10x + -3y = 12 + 7x + -9y Solving 6 + 10x + -3y = 12 + 7x + -9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 10x + -7x + -3y = 12 + 7x + -7x + -9y Combine like terms: 10x + -7x = 3x 6 + 3x + -3y = 12 + 7x + -7x + -9y Combine like terms: 7x + -7x = 0 6 + 3x + -3y = 12 + 0 + -9y 6 + 3x + -3y = 12 + -9y Add '-6' to each side of the equation. 6 + 3x + -6 + -3y = 12 + -6 + -9y Reorder the terms: 6 + -6 + 3x + -3y = 12 + -6 + -9y Combine like terms: 6 + -6 = 0 0 + 3x + -3y = 12 + -6 + -9y 3x + -3y = 12 + -6 + -9y Combine like terms: 12 + -6 = 6 3x + -3y = 6 + -9y Add '3y' to each side of the equation. 3x + -3y + 3y = 6 + -9y + 3y Combine like terms: -3y + 3y = 0 3x + 0 = 6 + -9y + 3y 3x = 6 + -9y + 3y Combine like terms: -9y + 3y = -6y 3x = 6 + -6y Divide each side by '3'. x = 2 + -2y Simplifying x = 2 + -2y
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