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Simplifying 9x + 5 = 3 + -1(2x + -7) Reorder the terms: 5 + 9x = 3 + -1(2x + -7) Reorder the terms: 5 + 9x = 3 + -1(-7 + 2x) 5 + 9x = 3 + (-7 * -1 + 2x * -1) 5 + 9x = 3 + (7 + -2x) Combine like terms: 3 + 7 = 10 5 + 9x = 10 + -2x Solving 5 + 9x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 9x + 2x = 10 + -2x + 2x Combine like terms: 9x + 2x = 11x 5 + 11x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 11x = 10 + 0 5 + 11x = 10 Add '-5' to each side of the equation. 5 + -5 + 11x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 10 + -5 11x = 10 + -5 Combine like terms: 10 + -5 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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