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