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Simplifying 6x + -1(8x + 2) = 7x + -11 Reorder the terms: 6x + -1(2 + 8x) = 7x + -11 6x + (2 * -1 + 8x * -1) = 7x + -11 6x + (-2 + -8x) = 7x + -11 Reorder the terms: -2 + 6x + -8x = 7x + -11 Combine like terms: 6x + -8x = -2x -2 + -2x = 7x + -11 Reorder the terms: -2 + -2x = -11 + 7x Solving -2 + -2x = -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. -2 + -2x + -7x = -11 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = -11 + 0 -2 + -9x = -11 Add '2' to each side of the equation. -2 + 2 + -9x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -11 + 2 -9x = -11 + 2 Combine like terms: -11 + 2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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