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Simplifying x + -2 + 4x = 6 + -3x + -5 Reorder the terms: -2 + x + 4x = 6 + -3x + -5 Combine like terms: x + 4x = 5x -2 + 5x = 6 + -3x + -5 Reorder the terms: -2 + 5x = 6 + -5 + -3x Combine like terms: 6 + -5 = 1 -2 + 5x = 1 + -3x Solving -2 + 5x = 1 + -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. -2 + 5x + 3x = 1 + -3x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 8x = 1 + 0 -2 + 8x = 1 Add '2' to each side of the equation. -2 + 2 + 8x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 1 + 2 8x = 1 + 2 Combine like terms: 1 + 2 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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