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Simplifying 5x + 5 = 9 + -1(2x + -7) Reorder the terms: 5 + 5x = 9 + -1(2x + -7) Reorder the terms: 5 + 5x = 9 + -1(-7 + 2x) 5 + 5x = 9 + (-7 * -1 + 2x * -1) 5 + 5x = 9 + (7 + -2x) Combine like terms: 9 + 7 = 16 5 + 5x = 16 + -2x Solving 5 + 5x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 5x + 2x = 16 + -2x + 2x Combine like terms: 5x + 2x = 7x 5 + 7x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 7x = 16 + 0 5 + 7x = 16 Add '-5' to each side of the equation. 5 + -5 + 7x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 16 + -5 7x = 16 + -5 Combine like terms: 16 + -5 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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