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Simplifying 26 = 6(x + 4) + 2(1 + -8x) Reorder the terms: 26 = 6(4 + x) + 2(1 + -8x) 26 = (4 * 6 + x * 6) + 2(1 + -8x) 26 = (24 + 6x) + 2(1 + -8x) 26 = 24 + 6x + (1 * 2 + -8x * 2) 26 = 24 + 6x + (2 + -16x) Reorder the terms: 26 = 24 + 2 + 6x + -16x Combine like terms: 24 + 2 = 26 26 = 26 + 6x + -16x Combine like terms: 6x + -16x = -10x 26 = 26 + -10x Add '-26' to each side of the equation. 26 + -26 = 26 + -26 + -10x Combine like terms: 26 + -26 = 0 0 = 26 + -26 + -10x Combine like terms: 26 + -26 = 0 0 = 0 + -10x 0 = -10x Solving 0 = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 0 + 10x = -10x + 10x Remove the zero: 10x = -10x + 10x Combine like terms: -10x + 10x = 0 10x = 0 Divide each side by '10'. x = 0 Simplifying x = 0
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