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Simplifying 5x + 8 + 7x + 2 + 3y + 10 = 130 Reorder the terms: 8 + 2 + 10 + 5x + 7x + 3y = 130 Combine like terms: 8 + 2 = 10 10 + 10 + 5x + 7x + 3y = 130 Combine like terms: 10 + 10 = 20 20 + 5x + 7x + 3y = 130 Combine like terms: 5x + 7x = 12x 20 + 12x + 3y = 130 Solving 20 + 12x + 3y = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 12x + -20 + 3y = 130 + -20 Reorder the terms: 20 + -20 + 12x + 3y = 130 + -20 Combine like terms: 20 + -20 = 0 0 + 12x + 3y = 130 + -20 12x + 3y = 130 + -20 Combine like terms: 130 + -20 = 110 12x + 3y = 110 Add '-3y' to each side of the equation. 12x + 3y + -3y = 110 + -3y Combine like terms: 3y + -3y = 0 12x + 0 = 110 + -3y 12x = 110 + -3y Divide each side by '12'. x = 9.166666667 + -0.25y Simplifying x = 9.166666667 + -0.25y
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