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Simplifying 3x + 2 = 2 + -1(9x + -7) Reorder the terms: 2 + 3x = 2 + -1(9x + -7) Reorder the terms: 2 + 3x = 2 + -1(-7 + 9x) 2 + 3x = 2 + (-7 * -1 + 9x * -1) 2 + 3x = 2 + (7 + -9x) Combine like terms: 2 + 7 = 9 2 + 3x = 9 + -9x Solving 2 + 3x = 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. 2 + 3x + 9x = 9 + -9x + 9x Combine like terms: 3x + 9x = 12x 2 + 12x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 12x = 9 + 0 2 + 12x = 9 Add '-2' to each side of the equation. 2 + -2 + 12x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 9 + -2 12x = 9 + -2 Combine like terms: 9 + -2 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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