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Simplifying 5x + -6y = 2x + -12 Reorder the terms: 5x + -6y = -12 + 2x Solving 5x + -6y = -12 + 2x 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. 5x + -2x + -6y = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x 3x + -6y = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 3x + -6y = -12 + 0 3x + -6y = -12 Add '6y' to each side of the equation. 3x + -6y + 6y = -12 + 6y Combine like terms: -6y + 6y = 0 3x + 0 = -12 + 6y 3x = -12 + 6y Divide each side by '3'. x = -4 + 2y Simplifying x = -4 + 2y
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