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Simplifying 3(6 + -7x) + 2x = -8 + 7x (6 * 3 + -7x * 3) + 2x = -8 + 7x (18 + -21x) + 2x = -8 + 7x Combine like terms: -21x + 2x = -19x 18 + -19x = -8 + 7x Solving 18 + -19x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + -19x + -7x = -8 + 7x + -7x Combine like terms: -19x + -7x = -26x 18 + -26x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -26x = -8 + 0 18 + -26x = -8 Add '-18' to each side of the equation. 18 + -18 + -26x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -26x = -8 + -18 -26x = -8 + -18 Combine like terms: -8 + -18 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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