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Simplifying 3x + 9y + -6 = 2x + -7y + 12 Reorder the terms: -6 + 3x + 9y = 2x + -7y + 12 Reorder the terms: -6 + 3x + 9y = 12 + 2x + -7y Solving -6 + 3x + 9y = 12 + 2x + -7y 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. -6 + 3x + -2x + 9y = 12 + 2x + -2x + -7y Combine like terms: 3x + -2x = 1x -6 + 1x + 9y = 12 + 2x + -2x + -7y Combine like terms: 2x + -2x = 0 -6 + 1x + 9y = 12 + 0 + -7y -6 + 1x + 9y = 12 + -7y Add '6' to each side of the equation. -6 + 1x + 6 + 9y = 12 + 6 + -7y Reorder the terms: -6 + 6 + 1x + 9y = 12 + 6 + -7y Combine like terms: -6 + 6 = 0 0 + 1x + 9y = 12 + 6 + -7y 1x + 9y = 12 + 6 + -7y Combine like terms: 12 + 6 = 18 1x + 9y = 18 + -7y Add '-9y' to each side of the equation. 1x + 9y + -9y = 18 + -7y + -9y Combine like terms: 9y + -9y = 0 1x + 0 = 18 + -7y + -9y 1x = 18 + -7y + -9y Combine like terms: -7y + -9y = -16y 1x = 18 + -16y Divide each side by '1'. x = 18 + -16y Simplifying x = 18 + -16y
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