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Simplifying 5x = (3x + -2) + (x + 4) Reorder the terms: 5x = (-2 + 3x) + (x + 4) Remove parenthesis around (-2 + 3x) 5x = -2 + 3x + (x + 4) Reorder the terms: 5x = -2 + 3x + (4 + x) Remove parenthesis around (4 + x) 5x = -2 + 3x + 4 + x Reorder the terms: 5x = -2 + 4 + 3x + x Combine like terms: -2 + 4 = 2 5x = 2 + 3x + x Combine like terms: 3x + x = 4x 5x = 2 + 4x Solving 5x = 2 + 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. 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 1x = 2 + 0 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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