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Simplifying 2(13x + -23) = (7 + 12x) * 7 Reorder the terms: 2(-23 + 13x) = (7 + 12x) * 7 (-23 * 2 + 13x * 2) = (7 + 12x) * 7 (-46 + 26x) = (7 + 12x) * 7 Reorder the terms for easier multiplication: -46 + 26x = 7(7 + 12x) -46 + 26x = (7 * 7 + 12x * 7) -46 + 26x = (49 + 84x) Solving -46 + 26x = 49 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -46 + 26x + -84x = 49 + 84x + -84x Combine like terms: 26x + -84x = -58x -46 + -58x = 49 + 84x + -84x Combine like terms: 84x + -84x = 0 -46 + -58x = 49 + 0 -46 + -58x = 49 Add '46' to each side of the equation. -46 + 46 + -58x = 49 + 46 Combine like terms: -46 + 46 = 0 0 + -58x = 49 + 46 -58x = 49 + 46 Combine like terms: 49 + 46 = 95 -58x = 95 Divide each side by '-58'. x = -1.637931034 Simplifying x = -1.637931034
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