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Simplifying 5y + x + 5 = 3y + 8x + 2 Reorder the terms: 5 + x + 5y = 3y + 8x + 2 Reorder the terms: 5 + x + 5y = 2 + 8x + 3y Solving 5 + x + 5y = 2 + 8x + 3y 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. 5 + x + -8x + 5y = 2 + 8x + -8x + 3y Combine like terms: x + -8x = -7x 5 + -7x + 5y = 2 + 8x + -8x + 3y Combine like terms: 8x + -8x = 0 5 + -7x + 5y = 2 + 0 + 3y 5 + -7x + 5y = 2 + 3y Add '-5' to each side of the equation. 5 + -7x + -5 + 5y = 2 + -5 + 3y Reorder the terms: 5 + -5 + -7x + 5y = 2 + -5 + 3y Combine like terms: 5 + -5 = 0 0 + -7x + 5y = 2 + -5 + 3y -7x + 5y = 2 + -5 + 3y Combine like terms: 2 + -5 = -3 -7x + 5y = -3 + 3y Add '-5y' to each side of the equation. -7x + 5y + -5y = -3 + 3y + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = -3 + 3y + -5y -7x = -3 + 3y + -5y Combine like terms: 3y + -5y = -2y -7x = -3 + -2y Divide each side by '-7'. x = 0.4285714286 + 0.2857142857y Simplifying x = 0.4285714286 + 0.2857142857y
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