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Simplifying 6x + -1(4x + 4) = 8x + -34 Reorder the terms: 6x + -1(4 + 4x) = 8x + -34 6x + (4 * -1 + 4x * -1) = 8x + -34 6x + (-4 + -4x) = 8x + -34 Reorder the terms: -4 + 6x + -4x = 8x + -34 Combine like terms: 6x + -4x = 2x -4 + 2x = 8x + -34 Reorder the terms: -4 + 2x = -34 + 8x Solving -4 + 2x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 2x + -8x = -34 + 8x + -8x Combine like terms: 2x + -8x = -6x -4 + -6x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -6x = -34 + 0 -4 + -6x = -34 Add '4' to each side of the equation. -4 + 4 + -6x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -34 + 4 -6x = -34 + 4 Combine like terms: -34 + 4 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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