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Simplifying -5 + 7x + -2 + 3x + y + -8y + 6 = 0 Reorder the terms: -5 + -2 + 6 + 7x + 3x + y + -8y = 0 Combine like terms: -5 + -2 = -7 -7 + 6 + 7x + 3x + y + -8y = 0 Combine like terms: -7 + 6 = -1 -1 + 7x + 3x + y + -8y = 0 Combine like terms: 7x + 3x = 10x -1 + 10x + y + -8y = 0 Combine like terms: y + -8y = -7y -1 + 10x + -7y = 0 Solving -1 + 10x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10x + 1 + -7y = 0 + 1 Reorder the terms: -1 + 1 + 10x + -7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x + -7y = 0 + 1 10x + -7y = 0 + 1 Combine like terms: 0 + 1 = 1 10x + -7y = 1 Add '7y' to each side of the equation. 10x + -7y + 7y = 1 + 7y Combine like terms: -7y + 7y = 0 10x + 0 = 1 + 7y 10x = 1 + 7y Divide each side by '10'. x = 0.1 + 0.7y Simplifying x = 0.1 + 0.7y
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