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Simplifying -34 = 3x + -2(4x + 32) Reorder the terms: -34 = 3x + -2(32 + 4x) -34 = 3x + (32 * -2 + 4x * -2) -34 = 3x + (-64 + -8x) Reorder the terms: -34 = -64 + 3x + -8x Combine like terms: 3x + -8x = -5x -34 = -64 + -5x Solving -34 = -64 + -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. -34 + 5x = -64 + -5x + 5x Combine like terms: -5x + 5x = 0 -34 + 5x = -64 + 0 -34 + 5x = -64 Add '34' to each side of the equation. -34 + 34 + 5x = -64 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = -64 + 34 5x = -64 + 34 Combine like terms: -64 + 34 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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