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Simplifying 9x + 6 = 9 + -1(7x + -2) Reorder the terms: 6 + 9x = 9 + -1(7x + -2) Reorder the terms: 6 + 9x = 9 + -1(-2 + 7x) 6 + 9x = 9 + (-2 * -1 + 7x * -1) 6 + 9x = 9 + (2 + -7x) Combine like terms: 9 + 2 = 11 6 + 9x = 11 + -7x Solving 6 + 9x = 11 + -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. 6 + 9x + 7x = 11 + -7x + 7x Combine like terms: 9x + 7x = 16x 6 + 16x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 16x = 11 + 0 6 + 16x = 11 Add '-6' to each side of the equation. 6 + -6 + 16x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 11 + -6 16x = 11 + -6 Combine like terms: 11 + -6 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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