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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 = 11 -81 + 27x = 11 + -1x Solving -81 + 27x = 11 + -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 = 11 + -1x + x Combine like terms: 27x + x = 28x -81 + 28x = 11 + -1x + x Combine like terms: -1x + x = 0 -81 + 28x = 11 + 0 -81 + 28x = 11 Add '81' to each side of the equation. -81 + 81 + 28x = 11 + 81 Combine like terms: -81 + 81 = 0 0 + 28x = 11 + 81 28x = 11 + 81 Combine like terms: 11 + 81 = 92 28x = 92 Divide each side by '28'. x = 3.285714286 Simplifying x = 3.285714286
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