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Simplifying -10x + 5y + -2 = 5x + 3y Reorder the terms: -2 + -10x + 5y = 5x + 3y Solving -2 + -10x + 5y = 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. -2 + -10x + -5x + 5y = 5x + -5x + 3y Combine like terms: -10x + -5x = -15x -2 + -15x + 5y = 5x + -5x + 3y Combine like terms: 5x + -5x = 0 -2 + -15x + 5y = 0 + 3y -2 + -15x + 5y = 3y Add '2' to each side of the equation. -2 + -15x + 2 + 5y = 2 + 3y Reorder the terms: -2 + 2 + -15x + 5y = 2 + 3y Combine like terms: -2 + 2 = 0 0 + -15x + 5y = 2 + 3y -15x + 5y = 2 + 3y Add '-5y' to each side of the equation. -15x + 5y + -5y = 2 + 3y + -5y Combine like terms: 5y + -5y = 0 -15x + 0 = 2 + 3y + -5y -15x = 2 + 3y + -5y Combine like terms: 3y + -5y = -2y -15x = 2 + -2y Divide each side by '-15'. x = -0.1333333333 + 0.1333333333y Simplifying x = -0.1333333333 + 0.1333333333y
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