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Simplifying 2x + -7 + x + -1 + 2x + -5 = 3x + -11 + x + -3 + 3x + -11 + x + -3 Reorder the terms: -7 + -1 + -5 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3 Combine like terms: -7 + -1 = -8 -8 + -5 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3 Combine like terms: -8 + -5 = -13 -13 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3 Combine like terms: 2x + x = 3x -13 + 3x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3 Combine like terms: 3x + 2x = 5x -13 + 5x = 3x + -11 + x + -3 + 3x + -11 + x + -3 Reorder the terms: -13 + 5x = -11 + -3 + -11 + -3 + 3x + x + 3x + x Combine like terms: -11 + -3 = -14 -13 + 5x = -14 + -11 + -3 + 3x + x + 3x + x Combine like terms: -14 + -11 = -25 -13 + 5x = -25 + -3 + 3x + x + 3x + x Combine like terms: -25 + -3 = -28 -13 + 5x = -28 + 3x + x + 3x + x Combine like terms: 3x + x = 4x -13 + 5x = -28 + 4x + 3x + x Combine like terms: 4x + 3x = 7x -13 + 5x = -28 + 7x + x Combine like terms: 7x + x = 8x -13 + 5x = -28 + 8x Solving -13 + 5x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 5x + -8x = -28 + 8x + -8x Combine like terms: 5x + -8x = -3x -13 + -3x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -3x = -28 + 0 -13 + -3x = -28 Add '13' to each side of the equation. -13 + 13 + -3x = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = -28 + 13 -3x = -28 + 13 Combine like terms: -28 + 13 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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