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Simplifying 5x + 8 = 8 + -1(9x + -5) Reorder the terms: 8 + 5x = 8 + -1(9x + -5) Reorder the terms: 8 + 5x = 8 + -1(-5 + 9x) 8 + 5x = 8 + (-5 * -1 + 9x * -1) 8 + 5x = 8 + (5 + -9x) Combine like terms: 8 + 5 = 13 8 + 5x = 13 + -9x Solving 8 + 5x = 13 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 5x + 9x = 13 + -9x + 9x Combine like terms: 5x + 9x = 14x 8 + 14x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 14x = 13 + 0 8 + 14x = 13 Add '-8' to each side of the equation. 8 + -8 + 14x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 13 + -8 14x = 13 + -8 Combine like terms: 13 + -8 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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