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Simplifying 9(3x + 6) = 14 + -1(x + 3) Reorder the terms: 9(6 + 3x) = 14 + -1(x + 3) (6 * 9 + 3x * 9) = 14 + -1(x + 3) (54 + 27x) = 14 + -1(x + 3) Reorder the terms: 54 + 27x = 14 + -1(3 + x) 54 + 27x = 14 + (3 * -1 + x * -1) 54 + 27x = 14 + (-3 + -1x) Combine like terms: 14 + -3 = 11 54 + 27x = 11 + -1x Solving 54 + 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. 54 + 27x + x = 11 + -1x + x Combine like terms: 27x + x = 28x 54 + 28x = 11 + -1x + x Combine like terms: -1x + x = 0 54 + 28x = 11 + 0 54 + 28x = 11 Add '-54' to each side of the equation. 54 + -54 + 28x = 11 + -54 Combine like terms: 54 + -54 = 0 0 + 28x = 11 + -54 28x = 11 + -54 Combine like terms: 11 + -54 = -43 28x = -43 Divide each side by '28'. x = -1.535714286 Simplifying x = -1.535714286
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