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Simplifying 5 = -2(1 + -6x) + 7(1 + 2x) 5 = (1 * -2 + -6x * -2) + 7(1 + 2x) 5 = (-2 + 12x) + 7(1 + 2x) 5 = -2 + 12x + (1 * 7 + 2x * 7) 5 = -2 + 12x + (7 + 14x) Reorder the terms: 5 = -2 + 7 + 12x + 14x Combine like terms: -2 + 7 = 5 5 = 5 + 12x + 14x Combine like terms: 12x + 14x = 26x 5 = 5 + 26x Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + 26x Combine like terms: 5 + -5 = 0 0 = 5 + -5 + 26x Combine like terms: 5 + -5 = 0 0 = 0 + 26x 0 = 26x Solving 0 = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 0 + -26x = 26x + -26x Remove the zero: -26x = 26x + -26x Combine like terms: 26x + -26x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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