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Simplifying -5x + 7y + 12 + -13y + 16x = 0 Reorder the terms: 12 + -5x + 16x + 7y + -13y = 0 Combine like terms: -5x + 16x = 11x 12 + 11x + 7y + -13y = 0 Combine like terms: 7y + -13y = -6y 12 + 11x + -6y = 0 Solving 12 + 11x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 11x + -12 + -6y = 0 + -12 Reorder the terms: 12 + -12 + 11x + -6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11x + -6y = 0 + -12 11x + -6y = 0 + -12 Combine like terms: 0 + -12 = -12 11x + -6y = -12 Add '6y' to each side of the equation. 11x + -6y + 6y = -12 + 6y Combine like terms: -6y + 6y = 0 11x + 0 = -12 + 6y 11x = -12 + 6y Divide each side by '11'. x = -1.090909091 + 0.5454545455y Simplifying x = -1.090909091 + 0.5454545455y
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