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Simplifying 6(2 + x) = 5(1 + -4x) (2 * 6 + x * 6) = 5(1 + -4x) (12 + 6x) = 5(1 + -4x) 12 + 6x = (1 * 5 + -4x * 5) 12 + 6x = (5 + -20x) Solving 12 + 6x = 5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + 6x + 20x = 5 + -20x + 20x Combine like terms: 6x + 20x = 26x 12 + 26x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 26x = 5 + 0 12 + 26x = 5 Add '-12' to each side of the equation. 12 + -12 + 26x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 26x = 5 + -12 26x = 5 + -12 Combine like terms: 5 + -12 = -7 26x = -7 Divide each side by '26'. x = -0.2692307692 Simplifying x = -0.2692307692
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