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Simplifying 5x + 3y = 15x + -2y Solving 5x + 3y = 15x + -2y 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. 5x + -15x + 3y = 15x + -15x + -2y Combine like terms: 5x + -15x = -10x -10x + 3y = 15x + -15x + -2y Combine like terms: 15x + -15x = 0 -10x + 3y = 0 + -2y -10x + 3y = -2y Add '-3y' to each side of the equation. -10x + 3y + -3y = -2y + -3y Combine like terms: 3y + -3y = 0 -10x + 0 = -2y + -3y -10x = -2y + -3y Combine like terms: -2y + -3y = -5y -10x = -5y Divide each side by '-10'. x = 0.5y Simplifying x = 0.5y
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