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Simplifying 6(10x + -1) + 2 = -7(5x + -1) Reorder the terms: 6(-1 + 10x) + 2 = -7(5x + -1) (-1 * 6 + 10x * 6) + 2 = -7(5x + -1) (-6 + 60x) + 2 = -7(5x + -1) Reorder the terms: -6 + 2 + 60x = -7(5x + -1) Combine like terms: -6 + 2 = -4 -4 + 60x = -7(5x + -1) Reorder the terms: -4 + 60x = -7(-1 + 5x) -4 + 60x = (-1 * -7 + 5x * -7) -4 + 60x = (7 + -35x) Solving -4 + 60x = 7 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -4 + 60x + 35x = 7 + -35x + 35x Combine like terms: 60x + 35x = 95x -4 + 95x = 7 + -35x + 35x Combine like terms: -35x + 35x = 0 -4 + 95x = 7 + 0 -4 + 95x = 7 Add '4' to each side of the equation. -4 + 4 + 95x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 95x = 7 + 4 95x = 7 + 4 Combine like terms: 7 + 4 = 11 95x = 11 Divide each side by '95'. x = 0.1157894737 Simplifying x = 0.1157894737
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