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Simplifying 1(1 + 7x) + -6(7 + -1x) = 36 (1 * 1 + 7x * 1) + -6(7 + -1x) = 36 (1 + 7x) + -6(7 + -1x) = 36 1 + 7x + (7 * -6 + -1x * -6) = 36 1 + 7x + (-42 + 6x) = 36 Reorder the terms: 1 + -42 + 7x + 6x = 36 Combine like terms: 1 + -42 = -41 -41 + 7x + 6x = 36 Combine like terms: 7x + 6x = 13x -41 + 13x = 36 Solving -41 + 13x = 36 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 + 13x = 36 + 41 Combine like terms: -41 + 41 = 0 0 + 13x = 36 + 41 13x = 36 + 41 Combine like terms: 36 + 41 = 77 13x = 77 Divide each side by '13'. x = 5.923076923 Simplifying x = 5.923076923
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