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Simplifying 13[12 + 8x] + 13 + -12x = 17 + 2[2x + x] [12 * 13 + 8x * 13] + 13 + -12x = 17 + 2[2x + x] [156 + 104x] + 13 + -12x = 17 + 2[2x + x] Reorder the terms: 156 + 13 + 104x + -12x = 17 + 2[2x + x] Combine like terms: 156 + 13 = 169 169 + 104x + -12x = 17 + 2[2x + x] Combine like terms: 104x + -12x = 92x 169 + 92x = 17 + 2[2x + x] Combine like terms: 2x + x = 3x 169 + 92x = 17 + 2[3x] Remove brackets around [3x] 169 + 92x = 17 + 2 * 3x Multiply 2 * 3 169 + 92x = 17 + 6x Solving 169 + 92x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 169 + 92x + -6x = 17 + 6x + -6x Combine like terms: 92x + -6x = 86x 169 + 86x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 169 + 86x = 17 + 0 169 + 86x = 17 Add '-169' to each side of the equation. 169 + -169 + 86x = 17 + -169 Combine like terms: 169 + -169 = 0 0 + 86x = 17 + -169 86x = 17 + -169 Combine like terms: 17 + -169 = -152 86x = -152 Divide each side by '86'. x = -1.76744186 Simplifying x = -1.76744186
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