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Simplifying -34(x + 48) = -17(x + -79) Reorder the terms: -34(48 + x) = -17(x + -79) (48 * -34 + x * -34) = -17(x + -79) (-1632 + -34x) = -17(x + -79) Reorder the terms: -1632 + -34x = -17(-79 + x) -1632 + -34x = (-79 * -17 + x * -17) -1632 + -34x = (1343 + -17x) Solving -1632 + -34x = 1343 + -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. -1632 + -34x + 17x = 1343 + -17x + 17x Combine like terms: -34x + 17x = -17x -1632 + -17x = 1343 + -17x + 17x Combine like terms: -17x + 17x = 0 -1632 + -17x = 1343 + 0 -1632 + -17x = 1343 Add '1632' to each side of the equation. -1632 + 1632 + -17x = 1343 + 1632 Combine like terms: -1632 + 1632 = 0 0 + -17x = 1343 + 1632 -17x = 1343 + 1632 Combine like terms: 1343 + 1632 = 2975 -17x = 2975 Divide each side by '-17'. x = -175 Simplifying x = -175
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