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Simplifying -9X + -34(x + 4) = -6(7X + 7) Reorder the terms: -9X + -34(4 + x) = -6(7X + 7) -9X + (4 * -34 + x * -34) = -6(7X + 7) -9X + (-136 + -34x) = -6(7X + 7) Reorder the terms: -136 + -9X + -34x = -6(7X + 7) Reorder the terms: -136 + -9X + -34x = -6(7 + 7X) -136 + -9X + -34x = (7 * -6 + 7X * -6) -136 + -9X + -34x = (-42 + -42X) Solving -136 + -9X + -34x = -42 + -42X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42X' to each side of the equation. -136 + -9X + 42X + -34x = -42 + -42X + 42X Combine like terms: -9X + 42X = 33X -136 + 33X + -34x = -42 + -42X + 42X Combine like terms: -42X + 42X = 0 -136 + 33X + -34x = -42 + 0 -136 + 33X + -34x = -42 Add '136' to each side of the equation. -136 + 33X + 136 + -34x = -42 + 136 Reorder the terms: -136 + 136 + 33X + -34x = -42 + 136 Combine like terms: -136 + 136 = 0 0 + 33X + -34x = -42 + 136 33X + -34x = -42 + 136 Combine like terms: -42 + 136 = 94 33X + -34x = 94 Add '34x' to each side of the equation. 33X + -34x + 34x = 94 + 34x Combine like terms: -34x + 34x = 0 33X + 0 = 94 + 34x 33X = 94 + 34x Divide each side by '33'. X = 2.848484848 + 1.03030303x Simplifying X = 2.848484848 + 1.03030303x
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