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Simplifying 9(3x + 9) = 14 + -1(x + -3) Reorder the terms: 9(9 + 3x) = 14 + -1(x + -3) (9 * 9 + 3x * 9) = 14 + -1(x + -3) (81 + 27x) = 14 + -1(x + -3) Reorder the terms: 81 + 27x = 14 + -1(-3 + x) 81 + 27x = 14 + (-3 * -1 + x * -1) 81 + 27x = 14 + (3 + -1x) Combine like terms: 14 + 3 = 17 81 + 27x = 17 + -1x Solving 81 + 27x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 81 + 27x + x = 17 + -1x + x Combine like terms: 27x + x = 28x 81 + 28x = 17 + -1x + x Combine like terms: -1x + x = 0 81 + 28x = 17 + 0 81 + 28x = 17 Add '-81' to each side of the equation. 81 + -81 + 28x = 17 + -81 Combine like terms: 81 + -81 = 0 0 + 28x = 17 + -81 28x = 17 + -81 Combine like terms: 17 + -81 = -64 28x = -64 Divide each side by '28'. x = -2.285714286 Simplifying x = -2.285714286
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