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Simplifying 6 + -1(x + 3) = 9(3x + -6) Reorder the terms: 6 + -1(3 + x) = 9(3x + -6) 6 + (3 * -1 + x * -1) = 9(3x + -6) 6 + (-3 + -1x) = 9(3x + -6) Combine like terms: 6 + -3 = 3 3 + -1x = 9(3x + -6) Reorder the terms: 3 + -1x = 9(-6 + 3x) 3 + -1x = (-6 * 9 + 3x * 9) 3 + -1x = (-54 + 27x) Solving 3 + -1x = -54 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 3 + -1x + -27x = -54 + 27x + -27x Combine like terms: -1x + -27x = -28x 3 + -28x = -54 + 27x + -27x Combine like terms: 27x + -27x = 0 3 + -28x = -54 + 0 3 + -28x = -54 Add '-3' to each side of the equation. 3 + -3 + -28x = -54 + -3 Combine like terms: 3 + -3 = 0 0 + -28x = -54 + -3 -28x = -54 + -3 Combine like terms: -54 + -3 = -57 -28x = -57 Divide each side by '-28'. x = 2.035714286 Simplifying x = 2.035714286
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