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Simplifying -2x + 8 = 6 + -1(9x + 7) Reorder the terms: 8 + -2x = 6 + -1(9x + 7) Reorder the terms: 8 + -2x = 6 + -1(7 + 9x) 8 + -2x = 6 + (7 * -1 + 9x * -1) 8 + -2x = 6 + (-7 + -9x) Combine like terms: 6 + -7 = -1 8 + -2x = -1 + -9x Solving 8 + -2x = -1 + -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 + -2x + 9x = -1 + -9x + 9x Combine like terms: -2x + 9x = 7x 8 + 7x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 7x = -1 + 0 8 + 7x = -1 Add '-8' to each side of the equation. 8 + -8 + 7x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = -1 + -8 7x = -1 + -8 Combine like terms: -1 + -8 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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