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Simplifying 10x + 30 + -7y + -28 = 8x + -6y + 3 Reorder the terms: 30 + -28 + 10x + -7y = 8x + -6y + 3 Combine like terms: 30 + -28 = 2 2 + 10x + -7y = 8x + -6y + 3 Reorder the terms: 2 + 10x + -7y = 3 + 8x + -6y Solving 2 + 10x + -7y = 3 + 8x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 10x + -8x + -7y = 3 + 8x + -8x + -6y Combine like terms: 10x + -8x = 2x 2 + 2x + -7y = 3 + 8x + -8x + -6y Combine like terms: 8x + -8x = 0 2 + 2x + -7y = 3 + 0 + -6y 2 + 2x + -7y = 3 + -6y Add '-2' to each side of the equation. 2 + 2x + -2 + -7y = 3 + -2 + -6y Reorder the terms: 2 + -2 + 2x + -7y = 3 + -2 + -6y Combine like terms: 2 + -2 = 0 0 + 2x + -7y = 3 + -2 + -6y 2x + -7y = 3 + -2 + -6y Combine like terms: 3 + -2 = 1 2x + -7y = 1 + -6y Add '7y' to each side of the equation. 2x + -7y + 7y = 1 + -6y + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 1 + -6y + 7y 2x = 1 + -6y + 7y Combine like terms: -6y + 7y = 1y 2x = 1 + 1y Divide each side by '2'. x = 0.5 + 0.5y Simplifying x = 0.5 + 0.5y
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