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Simplifying 10x + -1[3(1 + -4x) + -5] = 6 + -5x 10x + -1[(1 * 3 + -4x * 3) + -5] = 6 + -5x 10x + -1[(3 + -12x) + -5] = 6 + -5x Reorder the terms: 10x + -1[3 + -5 + -12x] = 6 + -5x Combine like terms: 3 + -5 = -2 10x + -1[-2 + -12x] = 6 + -5x 10x + [-2 * -1 + -12x * -1] = 6 + -5x 10x + [2 + 12x] = 6 + -5x Reorder the terms: 2 + 10x + 12x = 6 + -5x Combine like terms: 10x + 12x = 22x 2 + 22x = 6 + -5x Solving 2 + 22x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 22x + 5x = 6 + -5x + 5x Combine like terms: 22x + 5x = 27x 2 + 27x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 27x = 6 + 0 2 + 27x = 6 Add '-2' to each side of the equation. 2 + -2 + 27x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 27x = 6 + -2 27x = 6 + -2 Combine like terms: 6 + -2 = 4 27x = 4 Divide each side by '27'. x = 0.1481481481 Simplifying x = 0.1481481481
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