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Simplifying 2x + -1 + 2x + -1 + x + 2 + x + 2 = x + 5 + 2x + 5 + 2x + 6 Reorder the terms: -1 + -1 + 2 + 2 + 2x + 2x + x + x = x + 5 + 2x + 5 + 2x + 6 Combine like terms: -1 + -1 = -2 -2 + 2 + 2 + 2x + 2x + x + x = x + 5 + 2x + 5 + 2x + 6 Combine like terms: -2 + 2 = 0 0 + 2 + 2x + 2x + x + x = x + 5 + 2x + 5 + 2x + 6 2 + 2x + 2x + x + x = x + 5 + 2x + 5 + 2x + 6 Combine like terms: 2x + 2x = 4x 2 + 4x + x + x = x + 5 + 2x + 5 + 2x + 6 Combine like terms: 4x + x = 5x 2 + 5x + x = x + 5 + 2x + 5 + 2x + 6 Combine like terms: 5x + x = 6x 2 + 6x = x + 5 + 2x + 5 + 2x + 6 Reorder the terms: 2 + 6x = 5 + 5 + 6 + x + 2x + 2x Combine like terms: 5 + 5 = 10 2 + 6x = 10 + 6 + x + 2x + 2x Combine like terms: 10 + 6 = 16 2 + 6x = 16 + x + 2x + 2x Combine like terms: x + 2x = 3x 2 + 6x = 16 + 3x + 2x Combine like terms: 3x + 2x = 5x 2 + 6x = 16 + 5x Solving 2 + 6x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 6x + -5x = 16 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = 16 + 0 2 + 1x = 16 Add '-2' to each side of the equation. 2 + -2 + 1x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 16 + -2 1x = 16 + -2 Combine like terms: 16 + -2 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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