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Simplifying 5x + 2y = 3x + -6 Reorder the terms: 5x + 2y = -6 + 3x Solving 5x + 2y = -6 + 3x 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. 5x + -3x + 2y = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x + 2y = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2x + 2y = -6 + 0 2x + 2y = -6 Add '-2y' to each side of the equation. 2x + 2y + -2y = -6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -6 + -2y 2x = -6 + -2y Divide each side by '2'. x = -3 + -1y Simplifying x = -3 + -1y
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