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Simplifying -34 + 6x = -4(-4x + -2) + -4x Reorder the terms: -34 + 6x = -4(-2 + -4x) + -4x -34 + 6x = (-2 * -4 + -4x * -4) + -4x -34 + 6x = (8 + 16x) + -4x Combine like terms: 16x + -4x = 12x -34 + 6x = 8 + 12x Solving -34 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -34 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x -34 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -34 + -6x = 8 + 0 -34 + -6x = 8 Add '34' to each side of the equation. -34 + 34 + -6x = 8 + 34 Combine like terms: -34 + 34 = 0 0 + -6x = 8 + 34 -6x = 8 + 34 Combine like terms: 8 + 34 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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