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Simplifying 3(9x + -2) + 9 = 2(x + 5) Reorder the terms: 3(-2 + 9x) + 9 = 2(x + 5) (-2 * 3 + 9x * 3) + 9 = 2(x + 5) (-6 + 27x) + 9 = 2(x + 5) Reorder the terms: -6 + 9 + 27x = 2(x + 5) Combine like terms: -6 + 9 = 3 3 + 27x = 2(x + 5) Reorder the terms: 3 + 27x = 2(5 + x) 3 + 27x = (5 * 2 + x * 2) 3 + 27x = (10 + 2x) Solving 3 + 27x = 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. 3 + 27x + -2x = 10 + 2x + -2x Combine like terms: 27x + -2x = 25x 3 + 25x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 25x = 10 + 0 3 + 25x = 10 Add '-3' to each side of the equation. 3 + -3 + 25x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 10 + -3 25x = 10 + -3 Combine like terms: 10 + -3 = 7 25x = 7 Divide each side by '25'. x = 0.28 Simplifying x = 0.28
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