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Simplifying 5x + 3y + -10 = 3x + -3y + 10 Reorder the terms: -10 + 5x + 3y = 3x + -3y + 10 Reorder the terms: -10 + 5x + 3y = 10 + 3x + -3y Solving -10 + 5x + 3y = 10 + 3x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x + 3y = 10 + 3x + -3x + -3y Combine like terms: 5x + -3x = 2x -10 + 2x + 3y = 10 + 3x + -3x + -3y Combine like terms: 3x + -3x = 0 -10 + 2x + 3y = 10 + 0 + -3y -10 + 2x + 3y = 10 + -3y Add '10' to each side of the equation. -10 + 2x + 10 + 3y = 10 + 10 + -3y Reorder the terms: -10 + 10 + 2x + 3y = 10 + 10 + -3y Combine like terms: -10 + 10 = 0 0 + 2x + 3y = 10 + 10 + -3y 2x + 3y = 10 + 10 + -3y Combine like terms: 10 + 10 = 20 2x + 3y = 20 + -3y Add '-3y' to each side of the equation. 2x + 3y + -3y = 20 + -3y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 20 + -3y + -3y 2x = 20 + -3y + -3y Combine like terms: -3y + -3y = -6y 2x = 20 + -6y Divide each side by '2'. x = 10 + -3y Simplifying x = 10 + -3y
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