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Simplifying 8(-3x + -34) = 47(17 + 6x) Reorder the terms: 8(-34 + -3x) = 47(17 + 6x) (-34 * 8 + -3x * 8) = 47(17 + 6x) (-272 + -24x) = 47(17 + 6x) -272 + -24x = (17 * 47 + 6x * 47) -272 + -24x = (799 + 282x) Solving -272 + -24x = 799 + 282x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-282x' to each side of the equation. -272 + -24x + -282x = 799 + 282x + -282x Combine like terms: -24x + -282x = -306x -272 + -306x = 799 + 282x + -282x Combine like terms: 282x + -282x = 0 -272 + -306x = 799 + 0 -272 + -306x = 799 Add '272' to each side of the equation. -272 + 272 + -306x = 799 + 272 Combine like terms: -272 + 272 = 0 0 + -306x = 799 + 272 -306x = 799 + 272 Combine like terms: 799 + 272 = 1071 -306x = 1071 Divide each side by '-306'. x = -3.5 Simplifying x = -3.5
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