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Simplifying 2x + -5 + -7x + 1 = 4x + -6x + 11 Reorder the terms: -5 + 1 + 2x + -7x = 4x + -6x + 11 Combine like terms: -5 + 1 = -4 -4 + 2x + -7x = 4x + -6x + 11 Combine like terms: 2x + -7x = -5x -4 + -5x = 4x + -6x + 11 Reorder the terms: -4 + -5x = 11 + 4x + -6x Combine like terms: 4x + -6x = -2x -4 + -5x = 11 + -2x Solving -4 + -5x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + -5x + 2x = 11 + -2x + 2x Combine like terms: -5x + 2x = -3x -4 + -3x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -3x = 11 + 0 -4 + -3x = 11 Add '4' to each side of the equation. -4 + 4 + -3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 11 + 4 -3x = 11 + 4 Combine like terms: 11 + 4 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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