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Simplifying 5x + 9 = 3 + -1(8x + -7) Reorder the terms: 9 + 5x = 3 + -1(8x + -7) Reorder the terms: 9 + 5x = 3 + -1(-7 + 8x) 9 + 5x = 3 + (-7 * -1 + 8x * -1) 9 + 5x = 3 + (7 + -8x) Combine like terms: 3 + 7 = 10 9 + 5x = 10 + -8x Solving 9 + 5x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 5x + 8x = 10 + -8x + 8x Combine like terms: 5x + 8x = 13x 9 + 13x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 13x = 10 + 0 9 + 13x = 10 Add '-9' to each side of the equation. 9 + -9 + 13x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 10 + -9 13x = 10 + -9 Combine like terms: 10 + -9 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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