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Simplifying 6x + 8 = 9 + -1(9x + -7) Reorder the terms: 8 + 6x = 9 + -1(9x + -7) Reorder the terms: 8 + 6x = 9 + -1(-7 + 9x) 8 + 6x = 9 + (-7 * -1 + 9x * -1) 8 + 6x = 9 + (7 + -9x) Combine like terms: 9 + 7 = 16 8 + 6x = 16 + -9x Solving 8 + 6x = 16 + -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 + 6x + 9x = 16 + -9x + 9x Combine like terms: 6x + 9x = 15x 8 + 15x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 15x = 16 + 0 8 + 15x = 16 Add '-8' to each side of the equation. 8 + -8 + 15x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 16 + -8 15x = 16 + -8 Combine like terms: 16 + -8 = 8 15x = 8 Divide each side by '15'. x = 0.5333333333 Simplifying x = 0.5333333333
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