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Simplifying 2 + -1(5 + -7x) = 3 + 4x + -1(6x + -5) 2 + (5 * -1 + -7x * -1) = 3 + 4x + -1(6x + -5) 2 + (-5 + 7x) = 3 + 4x + -1(6x + -5) Combine like terms: 2 + -5 = -3 -3 + 7x = 3 + 4x + -1(6x + -5) Reorder the terms: -3 + 7x = 3 + 4x + -1(-5 + 6x) -3 + 7x = 3 + 4x + (-5 * -1 + 6x * -1) -3 + 7x = 3 + 4x + (5 + -6x) Reorder the terms: -3 + 7x = 3 + 5 + 4x + -6x Combine like terms: 3 + 5 = 8 -3 + 7x = 8 + 4x + -6x Combine like terms: 4x + -6x = -2x -3 + 7x = 8 + -2x Solving -3 + 7x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 7x + 2x = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = 8 + 0 -3 + 9x = 8 Add '3' to each side of the equation. -3 + 3 + 9x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 8 + 3 9x = 8 + 3 Combine like terms: 8 + 3 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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