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Simplifying 5x + -1(7x + 8) = 8 + -1(11x + -6) Reorder the terms: 5x + -1(8 + 7x) = 8 + -1(11x + -6) 5x + (8 * -1 + 7x * -1) = 8 + -1(11x + -6) 5x + (-8 + -7x) = 8 + -1(11x + -6) Reorder the terms: -8 + 5x + -7x = 8 + -1(11x + -6) Combine like terms: 5x + -7x = -2x -8 + -2x = 8 + -1(11x + -6) Reorder the terms: -8 + -2x = 8 + -1(-6 + 11x) -8 + -2x = 8 + (-6 * -1 + 11x * -1) -8 + -2x = 8 + (6 + -11x) Combine like terms: 8 + 6 = 14 -8 + -2x = 14 + -11x Solving -8 + -2x = 14 + -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. -8 + -2x + 11x = 14 + -11x + 11x Combine like terms: -2x + 11x = 9x -8 + 9x = 14 + -11x + 11x Combine like terms: -11x + 11x = 0 -8 + 9x = 14 + 0 -8 + 9x = 14 Add '8' to each side of the equation. -8 + 8 + 9x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 14 + 8 9x = 14 + 8 Combine like terms: 14 + 8 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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