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Simplifying 5x + -1(7x + 6) = 6 + -1(5x + -8) Reorder the terms: 5x + -1(6 + 7x) = 6 + -1(5x + -8) 5x + (6 * -1 + 7x * -1) = 6 + -1(5x + -8) 5x + (-6 + -7x) = 6 + -1(5x + -8) Reorder the terms: -6 + 5x + -7x = 6 + -1(5x + -8) Combine like terms: 5x + -7x = -2x -6 + -2x = 6 + -1(5x + -8) Reorder the terms: -6 + -2x = 6 + -1(-8 + 5x) -6 + -2x = 6 + (-8 * -1 + 5x * -1) -6 + -2x = 6 + (8 + -5x) Combine like terms: 6 + 8 = 14 -6 + -2x = 14 + -5x Solving -6 + -2x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -2x + 5x = 14 + -5x + 5x Combine like terms: -2x + 5x = 3x -6 + 3x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 3x = 14 + 0 -6 + 3x = 14 Add '6' to each side of the equation. -6 + 6 + 3x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 14 + 6 3x = 14 + 6 Combine like terms: 14 + 6 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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