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Simplifying 12(9x + 9) + -16 = 5(16x + x) + -23 Reorder the terms: 12(9 + 9x) + -16 = 5(16x + x) + -23 (9 * 12 + 9x * 12) + -16 = 5(16x + x) + -23 (108 + 108x) + -16 = 5(16x + x) + -23 Reorder the terms: 108 + -16 + 108x = 5(16x + x) + -23 Combine like terms: 108 + -16 = 92 92 + 108x = 5(16x + x) + -23 Combine like terms: 16x + x = 17x 92 + 108x = 5(17x) + -23 Remove parenthesis around (17x) 92 + 108x = 5 * 17x + -23 Multiply 5 * 17 92 + 108x = 85x + -23 Reorder the terms: 92 + 108x = -23 + 85x Solving 92 + 108x = -23 + 85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85x' to each side of the equation. 92 + 108x + -85x = -23 + 85x + -85x Combine like terms: 108x + -85x = 23x 92 + 23x = -23 + 85x + -85x Combine like terms: 85x + -85x = 0 92 + 23x = -23 + 0 92 + 23x = -23 Add '-92' to each side of the equation. 92 + -92 + 23x = -23 + -92 Combine like terms: 92 + -92 = 0 0 + 23x = -23 + -92 23x = -23 + -92 Combine like terms: -23 + -92 = -115 23x = -115 Divide each side by '23'. x = -5 Simplifying x = -5
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