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Simplifying 3x + -5y + -5 = 2x + -3y + -1 Reorder the terms: -5 + 3x + -5y = 2x + -3y + -1 Reorder the terms: -5 + 3x + -5y = -1 + 2x + -3y Solving -5 + 3x + -5y = -1 + 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. -5 + 3x + -2x + -5y = -1 + 2x + -2x + -3y Combine like terms: 3x + -2x = 1x -5 + 1x + -5y = -1 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 -5 + 1x + -5y = -1 + 0 + -3y -5 + 1x + -5y = -1 + -3y Add '5' to each side of the equation. -5 + 1x + 5 + -5y = -1 + 5 + -3y Reorder the terms: -5 + 5 + 1x + -5y = -1 + 5 + -3y Combine like terms: -5 + 5 = 0 0 + 1x + -5y = -1 + 5 + -3y 1x + -5y = -1 + 5 + -3y Combine like terms: -1 + 5 = 4 1x + -5y = 4 + -3y Add '5y' to each side of the equation. 1x + -5y + 5y = 4 + -3y + 5y Combine like terms: -5y + 5y = 0 1x + 0 = 4 + -3y + 5y 1x = 4 + -3y + 5y Combine like terms: -3y + 5y = 2y 1x = 4 + 2y Divide each side by '1'. x = 4 + 2y Simplifying x = 4 + 2y
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