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Simplifying 9x + 6 = 7 + -1(7x + -9) Reorder the terms: 6 + 9x = 7 + -1(7x + -9) Reorder the terms: 6 + 9x = 7 + -1(-9 + 7x) 6 + 9x = 7 + (-9 * -1 + 7x * -1) 6 + 9x = 7 + (9 + -7x) Combine like terms: 7 + 9 = 16 6 + 9x = 16 + -7x Solving 6 + 9x = 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. 6 + 9x + 7x = 16 + -7x + 7x Combine like terms: 9x + 7x = 16x 6 + 16x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 16x = 16 + 0 6 + 16x = 16 Add '-6' to each side of the equation. 6 + -6 + 16x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 16 + -6 16x = 16 + -6 Combine like terms: 16 + -6 = 10 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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