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Simplifying 5x + -3 + 2x + -1 = 4x + 4 + -5 Reorder the terms: -3 + -1 + 5x + 2x = 4x + 4 + -5 Combine like terms: -3 + -1 = -4 -4 + 5x + 2x = 4x + 4 + -5 Combine like terms: 5x + 2x = 7x -4 + 7x = 4x + 4 + -5 Reorder the terms: -4 + 7x = 4 + -5 + 4x Combine like terms: 4 + -5 = -1 -4 + 7x = -1 + 4x Solving -4 + 7x = -1 + 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. -4 + 7x + -4x = -1 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = -1 + 0 -4 + 3x = -1 Add '4' to each side of the equation. -4 + 4 + 3x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -1 + 4 3x = -1 + 4 Combine like terms: -1 + 4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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