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