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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 = 16 54 + 27x = 16 + -1x Solving 54 + 27x = 16 + -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 = 16 + -1x + x Combine like terms: 27x + x = 28x 54 + 28x = 16 + -1x + x Combine like terms: -1x + x = 0 54 + 28x = 16 + 0 54 + 28x = 16 Add '-54' to each side of the equation. 54 + -54 + 28x = 16 + -54 Combine like terms: 54 + -54 = 0 0 + 28x = 16 + -54 28x = 16 + -54 Combine like terms: 16 + -54 = -38 28x = -38 Divide each side by '28'. x = -1.357142857 Simplifying x = -1.357142857
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