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