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Simplifying 6(x + 7) = -17(-1x + 4) Reorder the terms: 6(7 + x) = -17(-1x + 4) (7 * 6 + x * 6) = -17(-1x + 4) (42 + 6x) = -17(-1x + 4) Reorder the terms: 42 + 6x = -17(4 + -1x) 42 + 6x = (4 * -17 + -1x * -17) 42 + 6x = (-68 + 17x) Solving 42 + 6x = -68 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 42 + 6x + -17x = -68 + 17x + -17x Combine like terms: 6x + -17x = -11x 42 + -11x = -68 + 17x + -17x Combine like terms: 17x + -17x = 0 42 + -11x = -68 + 0 42 + -11x = -68 Add '-42' to each side of the equation. 42 + -42 + -11x = -68 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = -68 + -42 -11x = -68 + -42 Combine like terms: -68 + -42 = -110 -11x = -110 Divide each side by '-11'. x = 10 Simplifying x = 10
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