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Simplifying 2x + 7 = 3 + -1(9x + -6) Reorder the terms: 7 + 2x = 3 + -1(9x + -6) Reorder the terms: 7 + 2x = 3 + -1(-6 + 9x) 7 + 2x = 3 + (-6 * -1 + 9x * -1) 7 + 2x = 3 + (6 + -9x) Combine like terms: 3 + 6 = 9 7 + 2x = 9 + -9x Solving 7 + 2x = 9 + -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. 7 + 2x + 9x = 9 + -9x + 9x Combine like terms: 2x + 9x = 11x 7 + 11x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 11x = 9 + 0 7 + 11x = 9 Add '-7' to each side of the equation. 7 + -7 + 11x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 9 + -7 11x = 9 + -7 Combine like terms: 9 + -7 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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