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Simplifying 5x + -1 = 6x + 5 + -3x Reorder the terms: -1 + 5x = 6x + 5 + -3x Reorder the terms: -1 + 5x = 5 + 6x + -3x Combine like terms: 6x + -3x = 3x -1 + 5x = 5 + 3x Solving -1 + 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 2x = 5 + 0 -1 + 2x = 5 Add '1' to each side of the equation. -1 + 1 + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 5 + 1 2x = 5 + 1 Combine like terms: 5 + 1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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