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Simplifying 8x + -4y + -6 = 22 + 4x Reorder the terms: -6 + 8x + -4y = 22 + 4x Solving -6 + 8x + -4y = 22 + 4x 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. -6 + 8x + -4x + -4y = 22 + 4x + -4x Combine like terms: 8x + -4x = 4x -6 + 4x + -4y = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 4x + -4y = 22 + 0 -6 + 4x + -4y = 22 Add '6' to each side of the equation. -6 + 4x + 6 + -4y = 22 + 6 Reorder the terms: -6 + 6 + 4x + -4y = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x + -4y = 22 + 6 4x + -4y = 22 + 6 Combine like terms: 22 + 6 = 28 4x + -4y = 28 Add '4y' to each side of the equation. 4x + -4y + 4y = 28 + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 28 + 4y 4x = 28 + 4y Divide each side by '4'. x = 7 + y Simplifying x = 7 + y
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