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Simplifying 7(50 + -2x) + 16 = 6x + -1(71 + -3x) (50 * 7 + -2x * 7) + 16 = 6x + -1(71 + -3x) (350 + -14x) + 16 = 6x + -1(71 + -3x) Reorder the terms: 350 + 16 + -14x = 6x + -1(71 + -3x) Combine like terms: 350 + 16 = 366 366 + -14x = 6x + -1(71 + -3x) 366 + -14x = 6x + (71 * -1 + -3x * -1) 366 + -14x = 6x + (-71 + 3x) Reorder the terms: 366 + -14x = -71 + 6x + 3x Combine like terms: 6x + 3x = 9x 366 + -14x = -71 + 9x Solving 366 + -14x = -71 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 366 + -14x + -9x = -71 + 9x + -9x Combine like terms: -14x + -9x = -23x 366 + -23x = -71 + 9x + -9x Combine like terms: 9x + -9x = 0 366 + -23x = -71 + 0 366 + -23x = -71 Add '-366' to each side of the equation. 366 + -366 + -23x = -71 + -366 Combine like terms: 366 + -366 = 0 0 + -23x = -71 + -366 -23x = -71 + -366 Combine like terms: -71 + -366 = -437 -23x = -437 Divide each side by '-23'. x = 19 Simplifying x = 19
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