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Simplifying (2x + -1) * 2 = 5x + -4 Reorder the terms: (-1 + 2x) * 2 = 5x + -4 Reorder the terms for easier multiplication: 2(-1 + 2x) = 5x + -4 (-1 * 2 + 2x * 2) = 5x + -4 (-2 + 4x) = 5x + -4 Reorder the terms: -2 + 4x = -4 + 5x Solving -2 + 4x = -4 + 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. -2 + 4x + -5x = -4 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -4 + 0 -2 + -1x = -4 Add '2' to each side of the equation. -2 + 2 + -1x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -4 + 2 -1x = -4 + 2 Combine like terms: -4 + 2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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