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Simplifying 6x + -4 + 2x + -7 = 11x + 1 Reorder the terms: -4 + -7 + 6x + 2x = 11x + 1 Combine like terms: -4 + -7 = -11 -11 + 6x + 2x = 11x + 1 Combine like terms: 6x + 2x = 8x -11 + 8x = 11x + 1 Reorder the terms: -11 + 8x = 1 + 11x Solving -11 + 8x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -11 + 8x + -11x = 1 + 11x + -11x Combine like terms: 8x + -11x = -3x -11 + -3x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -11 + -3x = 1 + 0 -11 + -3x = 1 Add '11' to each side of the equation. -11 + 11 + -3x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 1 + 11 -3x = 1 + 11 Combine like terms: 1 + 11 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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