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Simplifying 5x + 6 = 9 + -1(5x + -8) Reorder the terms: 6 + 5x = 9 + -1(5x + -8) Reorder the terms: 6 + 5x = 9 + -1(-8 + 5x) 6 + 5x = 9 + (-8 * -1 + 5x * -1) 6 + 5x = 9 + (8 + -5x) Combine like terms: 9 + 8 = 17 6 + 5x = 17 + -5x Solving 6 + 5x = 17 + -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. 6 + 5x + 5x = 17 + -5x + 5x Combine like terms: 5x + 5x = 10x 6 + 10x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 10x = 17 + 0 6 + 10x = 17 Add '-6' to each side of the equation. 6 + -6 + 10x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 17 + -6 10x = 17 + -6 Combine like terms: 17 + -6 = 11 10x = 11 Divide each side by '10'. x = 1.1 Simplifying x = 1.1
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