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Simplifying -1(-7x + 5) + 6(7 + -1x) = 43 Reorder the terms: -1(5 + -7x) + 6(7 + -1x) = 43 (5 * -1 + -7x * -1) + 6(7 + -1x) = 43 (-5 + 7x) + 6(7 + -1x) = 43 -5 + 7x + (7 * 6 + -1x * 6) = 43 -5 + 7x + (42 + -6x) = 43 Reorder the terms: -5 + 42 + 7x + -6x = 43 Combine like terms: -5 + 42 = 37 37 + 7x + -6x = 43 Combine like terms: 7x + -6x = 1x 37 + 1x = 43 Solving 37 + 1x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 1x = 43 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 43 + -37 1x = 43 + -37 Combine like terms: 43 + -37 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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