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Simplifying -1(1 + -7x) + -6(-7 + x) = 46 + 2x (1 * -1 + -7x * -1) + -6(-7 + x) = 46 + 2x (-1 + 7x) + -6(-7 + x) = 46 + 2x -1 + 7x + (-7 * -6 + x * -6) = 46 + 2x -1 + 7x + (42 + -6x) = 46 + 2x Reorder the terms: -1 + 42 + 7x + -6x = 46 + 2x Combine like terms: -1 + 42 = 41 41 + 7x + -6x = 46 + 2x Combine like terms: 7x + -6x = 1x 41 + 1x = 46 + 2x Solving 41 + 1x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + 1x + -2x = 46 + 2x + -2x Combine like terms: 1x + -2x = -1x 41 + -1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 41 + -1x = 46 + 0 41 + -1x = 46 Add '-41' to each side of the equation. 41 + -41 + -1x = 46 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 46 + -41 -1x = 46 + -41 Combine like terms: 46 + -41 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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