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Simplifying -3x + 4y + -10 = 7x + -2y + 50 Reorder the terms: -10 + -3x + 4y = 7x + -2y + 50 Reorder the terms: -10 + -3x + 4y = 50 + 7x + -2y Solving -10 + -3x + 4y = 50 + 7x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + -3x + -7x + 4y = 50 + 7x + -7x + -2y Combine like terms: -3x + -7x = -10x -10 + -10x + 4y = 50 + 7x + -7x + -2y Combine like terms: 7x + -7x = 0 -10 + -10x + 4y = 50 + 0 + -2y -10 + -10x + 4y = 50 + -2y Add '10' to each side of the equation. -10 + -10x + 10 + 4y = 50 + 10 + -2y Reorder the terms: -10 + 10 + -10x + 4y = 50 + 10 + -2y Combine like terms: -10 + 10 = 0 0 + -10x + 4y = 50 + 10 + -2y -10x + 4y = 50 + 10 + -2y Combine like terms: 50 + 10 = 60 -10x + 4y = 60 + -2y Add '-4y' to each side of the equation. -10x + 4y + -4y = 60 + -2y + -4y Combine like terms: 4y + -4y = 0 -10x + 0 = 60 + -2y + -4y -10x = 60 + -2y + -4y Combine like terms: -2y + -4y = -6y -10x = 60 + -6y Divide each side by '-10'. x = -6 + 0.6y Simplifying x = -6 + 0.6y
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