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Simplifying 169 + -1(10x + -5) = 9(4x + 4) Reorder the terms: 169 + -1(-5 + 10x) = 9(4x + 4) 169 + (-5 * -1 + 10x * -1) = 9(4x + 4) 169 + (5 + -10x) = 9(4x + 4) Combine like terms: 169 + 5 = 174 174 + -10x = 9(4x + 4) Reorder the terms: 174 + -10x = 9(4 + 4x) 174 + -10x = (4 * 9 + 4x * 9) 174 + -10x = (36 + 36x) Solving 174 + -10x = 36 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 174 + -10x + -36x = 36 + 36x + -36x Combine like terms: -10x + -36x = -46x 174 + -46x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 174 + -46x = 36 + 0 174 + -46x = 36 Add '-174' to each side of the equation. 174 + -174 + -46x = 36 + -174 Combine like terms: 174 + -174 = 0 0 + -46x = 36 + -174 -46x = 36 + -174 Combine like terms: 36 + -174 = -138 -46x = -138 Divide each side by '-46'. x = 3 Simplifying x = 3
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