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Simplifying -7x + y = -19 + -2x + 3y + -19 Reorder the terms: -7x + y = -19 + -19 + -2x + 3y Combine like terms: -19 + -19 = -38 -7x + y = -38 + -2x + 3y Solving -7x + y = -38 + -2x + 3y 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. -7x + 2x + y = -38 + -2x + 2x + 3y Combine like terms: -7x + 2x = -5x -5x + y = -38 + -2x + 2x + 3y Combine like terms: -2x + 2x = 0 -5x + y = -38 + 0 + 3y -5x + y = -38 + 3y Add '-1y' to each side of the equation. -5x + y + -1y = -38 + 3y + -1y Combine like terms: y + -1y = 0 -5x + 0 = -38 + 3y + -1y -5x = -38 + 3y + -1y Combine like terms: 3y + -1y = 2y -5x = -38 + 2y Divide each side by '-5'. x = 7.6 + -0.4y Simplifying x = 7.6 + -0.4y
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