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Simplifying 3x + -4y + 7x + 9y + -12 = 4x + -5y + -12 Reorder the terms: -12 + 3x + 7x + -4y + 9y = 4x + -5y + -12 Combine like terms: 3x + 7x = 10x -12 + 10x + -4y + 9y = 4x + -5y + -12 Combine like terms: -4y + 9y = 5y -12 + 10x + 5y = 4x + -5y + -12 Reorder the terms: -12 + 10x + 5y = -12 + 4x + -5y Add '12' to each side of the equation. -12 + 10x + 12 + 5y = -12 + 4x + 12 + -5y Reorder the terms: -12 + 12 + 10x + 5y = -12 + 4x + 12 + -5y Combine like terms: -12 + 12 = 0 0 + 10x + 5y = -12 + 4x + 12 + -5y 10x + 5y = -12 + 4x + 12 + -5y Reorder the terms: 10x + 5y = -12 + 12 + 4x + -5y Combine like terms: -12 + 12 = 0 10x + 5y = 0 + 4x + -5y 10x + 5y = 4x + -5y Solving 10x + 5y = 4x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10x + -4x + 5y = 4x + -4x + -5y Combine like terms: 10x + -4x = 6x 6x + 5y = 4x + -4x + -5y Combine like terms: 4x + -4x = 0 6x + 5y = 0 + -5y 6x + 5y = -5y Add '-5y' to each side of the equation. 6x + 5y + -5y = -5y + -5y Combine like terms: 5y + -5y = 0 6x + 0 = -5y + -5y 6x = -5y + -5y Combine like terms: -5y + -5y = -10y 6x = -10y Divide each side by '6'. x = -1.666666667y Simplifying x = -1.666666667y
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