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Simplifying 3y + -10x + -22 = 15x + -4y + 31 Reorder the terms: -22 + -10x + 3y = 15x + -4y + 31 Reorder the terms: -22 + -10x + 3y = 31 + 15x + -4y Solving -22 + -10x + 3y = 31 + 15x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -22 + -10x + -15x + 3y = 31 + 15x + -15x + -4y Combine like terms: -10x + -15x = -25x -22 + -25x + 3y = 31 + 15x + -15x + -4y Combine like terms: 15x + -15x = 0 -22 + -25x + 3y = 31 + 0 + -4y -22 + -25x + 3y = 31 + -4y Add '22' to each side of the equation. -22 + -25x + 22 + 3y = 31 + 22 + -4y Reorder the terms: -22 + 22 + -25x + 3y = 31 + 22 + -4y Combine like terms: -22 + 22 = 0 0 + -25x + 3y = 31 + 22 + -4y -25x + 3y = 31 + 22 + -4y Combine like terms: 31 + 22 = 53 -25x + 3y = 53 + -4y Add '-3y' to each side of the equation. -25x + 3y + -3y = 53 + -4y + -3y Combine like terms: 3y + -3y = 0 -25x + 0 = 53 + -4y + -3y -25x = 53 + -4y + -3y Combine like terms: -4y + -3y = -7y -25x = 53 + -7y Divide each side by '-25'. x = -2.12 + 0.28y Simplifying x = -2.12 + 0.28y
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