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Simplifying 3x + -1(8x + -1) = 7x + -11 Reorder the terms: 3x + -1(-1 + 8x) = 7x + -11 3x + (-1 * -1 + 8x * -1) = 7x + -11 3x + (1 + -8x) = 7x + -11 Reorder the terms: 1 + 3x + -8x = 7x + -11 Combine like terms: 3x + -8x = -5x 1 + -5x = 7x + -11 Reorder the terms: 1 + -5x = -11 + 7x Solving 1 + -5x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -5x + -7x = -11 + 7x + -7x Combine like terms: -5x + -7x = -12x 1 + -12x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -12x = -11 + 0 1 + -12x = -11 Add '-1' to each side of the equation. 1 + -1 + -12x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -11 + -1 -12x = -11 + -1 Combine like terms: -11 + -1 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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