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Simplifying 7(x + 3) + -5(y + -2) = 18 Reorder the terms: 7(3 + x) + -5(y + -2) = 18 (3 * 7 + x * 7) + -5(y + -2) = 18 (21 + 7x) + -5(y + -2) = 18 Reorder the terms: 21 + 7x + -5(-2 + y) = 18 21 + 7x + (-2 * -5 + y * -5) = 18 21 + 7x + (10 + -5y) = 18 Reorder the terms: 21 + 10 + 7x + -5y = 18 Combine like terms: 21 + 10 = 31 31 + 7x + -5y = 18 Solving 31 + 7x + -5y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 7x + -31 + -5y = 18 + -31 Reorder the terms: 31 + -31 + 7x + -5y = 18 + -31 Combine like terms: 31 + -31 = 0 0 + 7x + -5y = 18 + -31 7x + -5y = 18 + -31 Combine like terms: 18 + -31 = -13 7x + -5y = -13 Add '5y' to each side of the equation. 7x + -5y + 5y = -13 + 5y Combine like terms: -5y + 5y = 0 7x + 0 = -13 + 5y 7x = -13 + 5y Divide each side by '7'. x = -1.857142857 + 0.7142857143y Simplifying x = -1.857142857 + 0.7142857143y
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