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Simplifying 2x + -5 + x + x + 2x + -5 + x + 1 = x + 5 + 2x + 4 + 2x + -4 Reorder the terms: -5 + -5 + 1 + 2x + x + x + 2x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: -5 + -5 = -10 -10 + 1 + 2x + x + x + 2x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: -10 + 1 = -9 -9 + 2x + x + x + 2x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: 2x + x = 3x -9 + 3x + x + 2x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: 3x + x = 4x -9 + 4x + 2x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: 4x + 2x = 6x -9 + 6x + x = x + 5 + 2x + 4 + 2x + -4 Combine like terms: 6x + x = 7x -9 + 7x = x + 5 + 2x + 4 + 2x + -4 Reorder the terms: -9 + 7x = 5 + 4 + -4 + x + 2x + 2x Combine like terms: 5 + 4 = 9 -9 + 7x = 9 + -4 + x + 2x + 2x Combine like terms: 9 + -4 = 5 -9 + 7x = 5 + x + 2x + 2x Combine like terms: x + 2x = 3x -9 + 7x = 5 + 3x + 2x Combine like terms: 3x + 2x = 5x -9 + 7x = 5 + 5x Solving -9 + 7x = 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. -9 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -9 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 2x = 5 + 0 -9 + 2x = 5 Add '9' to each side of the equation. -9 + 9 + 2x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 5 + 9 2x = 5 + 9 Combine like terms: 5 + 9 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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