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Simplifying 8 + -1(4x + 2) = 5x + -34 Reorder the terms: 8 + -1(2 + 4x) = 5x + -34 8 + (2 * -1 + 4x * -1) = 5x + -34 8 + (-2 + -4x) = 5x + -34 Combine like terms: 8 + -2 = 6 6 + -4x = 5x + -34 Reorder the terms: 6 + -4x = -34 + 5x Solving 6 + -4x = -34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -4x + -5x = -34 + 5x + -5x Combine like terms: -4x + -5x = -9x 6 + -9x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -9x = -34 + 0 6 + -9x = -34 Add '-6' to each side of the equation. 6 + -6 + -9x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -34 + -6 -9x = -34 + -6 Combine like terms: -34 + -6 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444
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