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