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Simplifying 7x + 9 = 4 + -1(9x + -6) Reorder the terms: 9 + 7x = 4 + -1(9x + -6) Reorder the terms: 9 + 7x = 4 + -1(-6 + 9x) 9 + 7x = 4 + (-6 * -1 + 9x * -1) 9 + 7x = 4 + (6 + -9x) Combine like terms: 4 + 6 = 10 9 + 7x = 10 + -9x Solving 9 + 7x = 10 + -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. 9 + 7x + 9x = 10 + -9x + 9x Combine like terms: 7x + 9x = 16x 9 + 16x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 16x = 10 + 0 9 + 16x = 10 Add '-9' to each side of the equation. 9 + -9 + 16x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 10 + -9 16x = 10 + -9 Combine like terms: 10 + -9 = 1 16x = 1 Divide each side by '16'. x = 0.0625 Simplifying x = 0.0625
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