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Simplifying 3x + -1y + -5 = 5x + 3y + -7 Reorder the terms: -5 + 3x + -1y = 5x + 3y + -7 Reorder the terms: -5 + 3x + -1y = -7 + 5x + 3y Solving -5 + 3x + -1y = -7 + 5x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x + -1y = -7 + 5x + -5x + 3y Combine like terms: 3x + -5x = -2x -5 + -2x + -1y = -7 + 5x + -5x + 3y Combine like terms: 5x + -5x = 0 -5 + -2x + -1y = -7 + 0 + 3y -5 + -2x + -1y = -7 + 3y Add '5' to each side of the equation. -5 + -2x + 5 + -1y = -7 + 5 + 3y Reorder the terms: -5 + 5 + -2x + -1y = -7 + 5 + 3y Combine like terms: -5 + 5 = 0 0 + -2x + -1y = -7 + 5 + 3y -2x + -1y = -7 + 5 + 3y Combine like terms: -7 + 5 = -2 -2x + -1y = -2 + 3y Add 'y' to each side of the equation. -2x + -1y + y = -2 + 3y + y Combine like terms: -1y + y = 0 -2x + 0 = -2 + 3y + y -2x = -2 + 3y + y Combine like terms: 3y + y = 4y -2x = -2 + 4y Divide each side by '-2'. x = 1 + -2y Simplifying x = 1 + -2y
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