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Simplifying 9x + 2 = 6 + -1(9x + -3) Reorder the terms: 2 + 9x = 6 + -1(9x + -3) Reorder the terms: 2 + 9x = 6 + -1(-3 + 9x) 2 + 9x = 6 + (-3 * -1 + 9x * -1) 2 + 9x = 6 + (3 + -9x) Combine like terms: 6 + 3 = 9 2 + 9x = 9 + -9x Solving 2 + 9x = 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 + 9x + 9x = 9 + -9x + 9x Combine like terms: 9x + 9x = 18x 2 + 18x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 18x = 9 + 0 2 + 18x = 9 Add '-2' to each side of the equation. 2 + -2 + 18x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = 9 + -2 18x = 9 + -2 Combine like terms: 9 + -2 = 7 18x = 7 Divide each side by '18'. x = 0.3888888889 Simplifying x = 0.3888888889
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