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