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Simplifying 4x + -9y + -2 = 12x + -5y + 38 Reorder the terms: -2 + 4x + -9y = 12x + -5y + 38 Reorder the terms: -2 + 4x + -9y = 38 + 12x + -5y Solving -2 + 4x + -9y = 38 + 12x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 4x + -12x + -9y = 38 + 12x + -12x + -5y Combine like terms: 4x + -12x = -8x -2 + -8x + -9y = 38 + 12x + -12x + -5y Combine like terms: 12x + -12x = 0 -2 + -8x + -9y = 38 + 0 + -5y -2 + -8x + -9y = 38 + -5y Add '2' to each side of the equation. -2 + -8x + 2 + -9y = 38 + 2 + -5y Reorder the terms: -2 + 2 + -8x + -9y = 38 + 2 + -5y Combine like terms: -2 + 2 = 0 0 + -8x + -9y = 38 + 2 + -5y -8x + -9y = 38 + 2 + -5y Combine like terms: 38 + 2 = 40 -8x + -9y = 40 + -5y Add '9y' to each side of the equation. -8x + -9y + 9y = 40 + -5y + 9y Combine like terms: -9y + 9y = 0 -8x + 0 = 40 + -5y + 9y -8x = 40 + -5y + 9y Combine like terms: -5y + 9y = 4y -8x = 40 + 4y Divide each side by '-8'. x = -5 + -0.5y Simplifying x = -5 + -0.5y
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