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Simplifying 6(-1x + 1) + 2 = 5(1 + -5x) + 3 Reorder the terms: 6(1 + -1x) + 2 = 5(1 + -5x) + 3 (1 * 6 + -1x * 6) + 2 = 5(1 + -5x) + 3 (6 + -6x) + 2 = 5(1 + -5x) + 3 Reorder the terms: 6 + 2 + -6x = 5(1 + -5x) + 3 Combine like terms: 6 + 2 = 8 8 + -6x = 5(1 + -5x) + 3 8 + -6x = (1 * 5 + -5x * 5) + 3 8 + -6x = (5 + -25x) + 3 Reorder the terms: 8 + -6x = 5 + 3 + -25x Combine like terms: 5 + 3 = 8 8 + -6x = 8 + -25x Add '-8' to each side of the equation. 8 + -8 + -6x = 8 + -8 + -25x Combine like terms: 8 + -8 = 0 0 + -6x = 8 + -8 + -25x -6x = 8 + -8 + -25x Combine like terms: 8 + -8 = 0 -6x = 0 + -25x -6x = -25x Solving -6x = -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -6x + 25x = -25x + 25x Combine like terms: -6x + 25x = 19x 19x = -25x + 25x Combine like terms: -25x + 25x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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