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Simplifying 9x + [16 + 9(x + 4)] = x + 24 Reorder the terms: 9x + [16 + 9(4 + x)] = x + 24 9x + [16 + (4 * 9 + x * 9)] = x + 24 9x + [16 + (36 + 9x)] = x + 24 Combine like terms: 16 + 36 = 52 9x + [52 + 9x] = x + 24 Remove brackets around [52 + 9x] 9x + 52 + 9x = x + 24 Reorder the terms: 52 + 9x + 9x = x + 24 Combine like terms: 9x + 9x = 18x 52 + 18x = x + 24 Reorder the terms: 52 + 18x = 24 + x Solving 52 + 18x = 24 + x 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. 52 + 18x + -1x = 24 + x + -1x Combine like terms: 18x + -1x = 17x 52 + 17x = 24 + x + -1x Combine like terms: x + -1x = 0 52 + 17x = 24 + 0 52 + 17x = 24 Add '-52' to each side of the equation. 52 + -52 + 17x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + 17x = 24 + -52 17x = 24 + -52 Combine like terms: 24 + -52 = -28 17x = -28 Divide each side by '17'. x = -1.647058824 Simplifying x = -1.647058824
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