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Simplifying 7(2 + -7x) = -29 + -6x (2 * 7 + -7x * 7) = -29 + -6x (14 + -49x) = -29 + -6x Solving 14 + -49x = -29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -49x + 6x = -29 + -6x + 6x Combine like terms: -49x + 6x = -43x 14 + -43x = -29 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + -43x = -29 + 0 14 + -43x = -29 Add '-14' to each side of the equation. 14 + -14 + -43x = -29 + -14 Combine like terms: 14 + -14 = 0 0 + -43x = -29 + -14 -43x = -29 + -14 Combine like terms: -29 + -14 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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