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Simplifying 9(3x + -6) = 14 + -1(x + 2) Reorder the terms: 9(-6 + 3x) = 14 + -1(x + 2) (-6 * 9 + 3x * 9) = 14 + -1(x + 2) (-54 + 27x) = 14 + -1(x + 2) Reorder the terms: -54 + 27x = 14 + -1(2 + x) -54 + 27x = 14 + (2 * -1 + x * -1) -54 + 27x = 14 + (-2 + -1x) Combine like terms: 14 + -2 = 12 -54 + 27x = 12 + -1x Solving -54 + 27x = 12 + -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. -54 + 27x + x = 12 + -1x + x Combine like terms: 27x + x = 28x -54 + 28x = 12 + -1x + x Combine like terms: -1x + x = 0 -54 + 28x = 12 + 0 -54 + 28x = 12 Add '54' to each side of the equation. -54 + 54 + 28x = 12 + 54 Combine like terms: -54 + 54 = 0 0 + 28x = 12 + 54 28x = 12 + 54 Combine like terms: 12 + 54 = 66 28x = 66 Divide each side by '28'. x = 2.357142857 Simplifying x = 2.357142857
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