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Simplifying 2x + 10x + 1 + -3x + -5 = 6x + -7x + 11 + -6 + 7x Reorder the terms: 1 + -5 + 2x + 10x + -3x = 6x + -7x + 11 + -6 + 7x Combine like terms: 1 + -5 = -4 -4 + 2x + 10x + -3x = 6x + -7x + 11 + -6 + 7x Combine like terms: 2x + 10x = 12x -4 + 12x + -3x = 6x + -7x + 11 + -6 + 7x Combine like terms: 12x + -3x = 9x -4 + 9x = 6x + -7x + 11 + -6 + 7x Reorder the terms: -4 + 9x = 11 + -6 + 6x + -7x + 7x Combine like terms: 11 + -6 = 5 -4 + 9x = 5 + 6x + -7x + 7x Combine like terms: 6x + -7x = -1x -4 + 9x = 5 + -1x + 7x Combine like terms: -1x + 7x = 6x -4 + 9x = 5 + 6x Solving -4 + 9x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 9x + -6x = 5 + 6x + -6x Combine like terms: 9x + -6x = 3x -4 + 3x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 3x = 5 + 0 -4 + 3x = 5 Add '4' to each side of the equation. -4 + 4 + 3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 5 + 4 3x = 5 + 4 Combine like terms: 5 + 4 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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