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Simplifying 9(3x + -23) = 1(x + 5) Reorder the terms: 9(-23 + 3x) = 1(x + 5) (-23 * 9 + 3x * 9) = 1(x + 5) (-207 + 27x) = 1(x + 5) Reorder the terms: -207 + 27x = 1(5 + x) -207 + 27x = (5 * 1 + x * 1) -207 + 27x = (5 + 1x) Solving -207 + 27x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -207 + 27x + -1x = 5 + 1x + -1x Combine like terms: 27x + -1x = 26x -207 + 26x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -207 + 26x = 5 + 0 -207 + 26x = 5 Add '207' to each side of the equation. -207 + 207 + 26x = 5 + 207 Combine like terms: -207 + 207 = 0 0 + 26x = 5 + 207 26x = 5 + 207 Combine like terms: 5 + 207 = 212 26x = 212 Divide each side by '26'. x = 8.153846154 Simplifying x = 8.153846154
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