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Simplifying 8x + 2y + -7 = 6x + 4y + -8 Reorder the terms: -7 + 8x + 2y = 6x + 4y + -8 Reorder the terms: -7 + 8x + 2y = -8 + 6x + 4y Solving -7 + 8x + 2y = -8 + 6x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 8x + -6x + 2y = -8 + 6x + -6x + 4y Combine like terms: 8x + -6x = 2x -7 + 2x + 2y = -8 + 6x + -6x + 4y Combine like terms: 6x + -6x = 0 -7 + 2x + 2y = -8 + 0 + 4y -7 + 2x + 2y = -8 + 4y Add '7' to each side of the equation. -7 + 2x + 7 + 2y = -8 + 7 + 4y Reorder the terms: -7 + 7 + 2x + 2y = -8 + 7 + 4y Combine like terms: -7 + 7 = 0 0 + 2x + 2y = -8 + 7 + 4y 2x + 2y = -8 + 7 + 4y Combine like terms: -8 + 7 = -1 2x + 2y = -1 + 4y Add '-2y' to each side of the equation. 2x + 2y + -2y = -1 + 4y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -1 + 4y + -2y 2x = -1 + 4y + -2y Combine like terms: 4y + -2y = 2y 2x = -1 + 2y Divide each side by '2'. x = -0.5 + y Simplifying x = -0.5 + y
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