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Simplifying 8x + 14y + 38 = 14y + 12x + 2 Reorder the terms: 38 + 8x + 14y = 14y + 12x + 2 Reorder the terms: 38 + 8x + 14y = 2 + 12x + 14y Add '-14y' to each side of the equation. 38 + 8x + 14y + -14y = 2 + 12x + 14y + -14y Combine like terms: 14y + -14y = 0 38 + 8x + 0 = 2 + 12x + 14y + -14y 38 + 8x = 2 + 12x + 14y + -14y Combine like terms: 14y + -14y = 0 38 + 8x = 2 + 12x + 0 38 + 8x = 2 + 12x Solving 38 + 8x = 2 + 12x 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. 38 + 8x + -12x = 2 + 12x + -12x Combine like terms: 8x + -12x = -4x 38 + -4x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -4x = 2 + 0 38 + -4x = 2 Add '-38' to each side of the equation. 38 + -38 + -4x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 2 + -38 -4x = 2 + -38 Combine like terms: 2 + -38 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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