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Simplifying (4x + -1) + (2x + -1) = 5x Reorder the terms: (-1 + 4x) + (2x + -1) = 5x Remove parenthesis around (-1 + 4x) -1 + 4x + (2x + -1) = 5x Reorder the terms: -1 + 4x + (-1 + 2x) = 5x Remove parenthesis around (-1 + 2x) -1 + 4x + -1 + 2x = 5x Reorder the terms: -1 + -1 + 4x + 2x = 5x Combine like terms: -1 + -1 = -2 -2 + 4x + 2x = 5x Combine like terms: 4x + 2x = 6x -2 + 6x = 5x Solving -2 + 6x = 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 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = 0 Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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