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Simplifying (3x + -4) * 2 = 4x + -4 Reorder the terms: (-4 + 3x) * 2 = 4x + -4 Reorder the terms for easier multiplication: 2(-4 + 3x) = 4x + -4 (-4 * 2 + 3x * 2) = 4x + -4 (-8 + 6x) = 4x + -4 Reorder the terms: -8 + 6x = -4 + 4x Solving -8 + 6x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = -4 + 0 -8 + 2x = -4 Add '8' to each side of the equation. -8 + 8 + 2x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -4 + 8 2x = -4 + 8 Combine like terms: -4 + 8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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