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Simplifying 6x + 9 = 8 + -1(7x + -8) Reorder the terms: 9 + 6x = 8 + -1(7x + -8) Reorder the terms: 9 + 6x = 8 + -1(-8 + 7x) 9 + 6x = 8 + (-8 * -1 + 7x * -1) 9 + 6x = 8 + (8 + -7x) Combine like terms: 8 + 8 = 16 9 + 6x = 16 + -7x Solving 9 + 6x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + 6x + 7x = 16 + -7x + 7x Combine like terms: 6x + 7x = 13x 9 + 13x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 13x = 16 + 0 9 + 13x = 16 Add '-9' to each side of the equation. 9 + -9 + 13x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 16 + -9 13x = 16 + -9 Combine like terms: 16 + -9 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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