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Simplifying 4x + -1 = 2x + -1 + 5x Reorder the terms: -1 + 4x = 2x + -1 + 5x Reorder the terms: -1 + 4x = -1 + 2x + 5x Combine like terms: 2x + 5x = 7x -1 + 4x = -1 + 7x Add '1' to each side of the equation. -1 + 1 + 4x = -1 + 1 + 7x Combine like terms: -1 + 1 = 0 0 + 4x = -1 + 1 + 7x 4x = -1 + 1 + 7x Combine like terms: -1 + 1 = 0 4x = 0 + 7x 4x = 7x Solving 4x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4x + -7x = 7x + -7x Combine like terms: 4x + -7x = -3x -3x = 7x + -7x Combine like terms: 7x + -7x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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