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Simplifying 3x + y + 5 = 13y + -2x Reorder the terms: 5 + 3x + y = 13y + -2x Reorder the terms: 5 + 3x + y = -2x + 13y Solving 5 + 3x + y = -2x + 13y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 3x + 2x + y = -2x + 2x + 13y Combine like terms: 3x + 2x = 5x 5 + 5x + y = -2x + 2x + 13y Combine like terms: -2x + 2x = 0 5 + 5x + y = 0 + 13y 5 + 5x + y = 13y Add '-5' to each side of the equation. 5 + 5x + -5 + y = -5 + 13y Reorder the terms: 5 + -5 + 5x + y = -5 + 13y Combine like terms: 5 + -5 = 0 0 + 5x + y = -5 + 13y 5x + y = -5 + 13y Add '-1y' to each side of the equation. 5x + y + -1y = -5 + 13y + -1y Combine like terms: y + -1y = 0 5x + 0 = -5 + 13y + -1y 5x = -5 + 13y + -1y Combine like terms: 13y + -1y = 12y 5x = -5 + 12y Divide each side by '5'. x = -1 + 2.4y Simplifying x = -1 + 2.4y
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