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Simplifying 7x + 3 = 9 + -1(5x + -9) Reorder the terms: 3 + 7x = 9 + -1(5x + -9) Reorder the terms: 3 + 7x = 9 + -1(-9 + 5x) 3 + 7x = 9 + (-9 * -1 + 5x * -1) 3 + 7x = 9 + (9 + -5x) Combine like terms: 9 + 9 = 18 3 + 7x = 18 + -5x Solving 3 + 7x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 7x + 5x = 18 + -5x + 5x Combine like terms: 7x + 5x = 12x 3 + 12x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 12x = 18 + 0 3 + 12x = 18 Add '-3' to each side of the equation. 3 + -3 + 12x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 18 + -3 12x = 18 + -3 Combine like terms: 18 + -3 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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