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Simplifying (3x + -11) * 2 = (9x + -34) Reorder the terms: (-11 + 3x) * 2 = (9x + -34) Reorder the terms for easier multiplication: 2(-11 + 3x) = (9x + -34) (-11 * 2 + 3x * 2) = (9x + -34) (-22 + 6x) = (9x + -34) Reorder the terms: -22 + 6x = (-34 + 9x) Remove parenthesis around (-34 + 9x) -22 + 6x = -34 + 9x Solving -22 + 6x = -34 + 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. -22 + 6x + -9x = -34 + 9x + -9x Combine like terms: 6x + -9x = -3x -22 + -3x = -34 + 9x + -9x Combine like terms: 9x + -9x = 0 -22 + -3x = -34 + 0 -22 + -3x = -34 Add '22' to each side of the equation. -22 + 22 + -3x = -34 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -34 + 22 -3x = -34 + 22 Combine like terms: -34 + 22 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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