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Simplifying -1(1 + 7x) + -6(-7 + -2x) = 42 (1 * -1 + 7x * -1) + -6(-7 + -2x) = 42 (-1 + -7x) + -6(-7 + -2x) = 42 -1 + -7x + (-7 * -6 + -2x * -6) = 42 -1 + -7x + (42 + 12x) = 42 Reorder the terms: -1 + 42 + -7x + 12x = 42 Combine like terms: -1 + 42 = 41 41 + -7x + 12x = 42 Combine like terms: -7x + 12x = 5x 41 + 5x = 42 Solving 41 + 5x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5x = 42 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 42 + -41 5x = 42 + -41 Combine like terms: 42 + -41 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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