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Simplifying 2x + -5 + x + 1 + 2x + -5 + x + 1 = x + 5 + 2x + -4 + 2x + 4 Reorder the terms: -5 + 1 + -5 + 1 + 2x + x + 2x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: -5 + 1 = -4 -4 + -5 + 1 + 2x + x + 2x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: -4 + -5 = -9 -9 + 1 + 2x + x + 2x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: -9 + 1 = -8 -8 + 2x + x + 2x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: 2x + x = 3x -8 + 3x + 2x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: 3x + 2x = 5x -8 + 5x + x = x + 5 + 2x + -4 + 2x + 4 Combine like terms: 5x + x = 6x -8 + 6x = x + 5 + 2x + -4 + 2x + 4 Reorder the terms: -8 + 6x = 5 + -4 + 4 + x + 2x + 2x Combine like terms: 5 + -4 = 1 -8 + 6x = 1 + 4 + x + 2x + 2x Combine like terms: 1 + 4 = 5 -8 + 6x = 5 + x + 2x + 2x Combine like terms: x + 2x = 3x -8 + 6x = 5 + 3x + 2x Combine like terms: 3x + 2x = 5x -8 + 6x = 5 + 5x Solving -8 + 6x = 5 + 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. -8 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = 5 + 0 -8 + 1x = 5 Add '8' to each side of the equation. -8 + 8 + 1x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 5 + 8 1x = 5 + 8 Combine like terms: 5 + 8 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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