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Simplifying 2x + 7 = 9 + -1(5x + -4) Reorder the terms: 7 + 2x = 9 + -1(5x + -4) Reorder the terms: 7 + 2x = 9 + -1(-4 + 5x) 7 + 2x = 9 + (-4 * -1 + 5x * -1) 7 + 2x = 9 + (4 + -5x) Combine like terms: 9 + 4 = 13 7 + 2x = 13 + -5x Solving 7 + 2x = 13 + -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. 7 + 2x + 5x = 13 + -5x + 5x Combine like terms: 2x + 5x = 7x 7 + 7x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 7x = 13 + 0 7 + 7x = 13 Add '-7' to each side of the equation. 7 + -7 + 7x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 13 + -7 7x = 13 + -7 Combine like terms: 13 + -7 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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