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Simplifying 5x + 1 + -2 = 6 + 3x + -4 Reorder the terms: 1 + -2 + 5x = 6 + 3x + -4 Combine like terms: 1 + -2 = -1 -1 + 5x = 6 + 3x + -4 Reorder the terms: -1 + 5x = 6 + -4 + 3x Combine like terms: 6 + -4 = 2 -1 + 5x = 2 + 3x Solving -1 + 5x = 2 + 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 = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 2x = 2 + 0 -1 + 2x = 2 Add '1' to each side of the equation. -1 + 1 + 2x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 2 + 1 2x = 2 + 1 Combine like terms: 2 + 1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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