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Simplifying 3(x + -2y) = 5(x + -3y) + 3 (x * 3 + -2y * 3) = 5(x + -3y) + 3 (3x + -6y) = 5(x + -3y) + 3 3x + -6y = (x * 5 + -3y * 5) + 3 3x + -6y = (5x + -15y) + 3 Reorder the terms: 3x + -6y = 3 + 5x + -15y Solving 3x + -6y = 3 + 5x + -15y 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. 3x + -5x + -6y = 3 + 5x + -5x + -15y Combine like terms: 3x + -5x = -2x -2x + -6y = 3 + 5x + -5x + -15y Combine like terms: 5x + -5x = 0 -2x + -6y = 3 + 0 + -15y -2x + -6y = 3 + -15y Add '6y' to each side of the equation. -2x + -6y + 6y = 3 + -15y + 6y Combine like terms: -6y + 6y = 0 -2x + 0 = 3 + -15y + 6y -2x = 3 + -15y + 6y Combine like terms: -15y + 6y = -9y -2x = 3 + -9y Divide each side by '-2'. x = -1.5 + 4.5y Simplifying x = -1.5 + 4.5y
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