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Simplifying 5x + -5x = 6(x + -6) + 5(2 + 4x) Combine like terms: 5x + -5x = 0 0 = 6(x + -6) + 5(2 + 4x) Reorder the terms: 0 = 6(-6 + x) + 5(2 + 4x) 0 = (-6 * 6 + x * 6) + 5(2 + 4x) 0 = (-36 + 6x) + 5(2 + 4x) 0 = -36 + 6x + (2 * 5 + 4x * 5) 0 = -36 + 6x + (10 + 20x) Reorder the terms: 0 = -36 + 10 + 6x + 20x Combine like terms: -36 + 10 = -26 0 = -26 + 6x + 20x Combine like terms: 6x + 20x = 26x 0 = -26 + 26x Solving 0 = -26 + 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 = -26 + 26x + -26x Remove the zero: -26x = -26 + 26x + -26x Combine like terms: 26x + -26x = 0 -26x = -26 + 0 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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