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Simplifying 9(3x + 5) + -9 = 9(x + -2) + 14 Reorder the terms: 9(5 + 3x) + -9 = 9(x + -2) + 14 (5 * 9 + 3x * 9) + -9 = 9(x + -2) + 14 (45 + 27x) + -9 = 9(x + -2) + 14 Reorder the terms: 45 + -9 + 27x = 9(x + -2) + 14 Combine like terms: 45 + -9 = 36 36 + 27x = 9(x + -2) + 14 Reorder the terms: 36 + 27x = 9(-2 + x) + 14 36 + 27x = (-2 * 9 + x * 9) + 14 36 + 27x = (-18 + 9x) + 14 Reorder the terms: 36 + 27x = -18 + 14 + 9x Combine like terms: -18 + 14 = -4 36 + 27x = -4 + 9x Solving 36 + 27x = -4 + 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. 36 + 27x + -9x = -4 + 9x + -9x Combine like terms: 27x + -9x = 18x 36 + 18x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + 18x = -4 + 0 36 + 18x = -4 Add '-36' to each side of the equation. 36 + -36 + 18x = -4 + -36 Combine like terms: 36 + -36 = 0 0 + 18x = -4 + -36 18x = -4 + -36 Combine like terms: -4 + -36 = -40 18x = -40 Divide each side by '18'. x = -2.222222222 Simplifying x = -2.222222222
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