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Simplifying -5x + 7(x + -1) = -1(4x + -5) + -7x + 7 Reorder the terms: -5x + 7(-1 + x) = -1(4x + -5) + -7x + 7 -5x + (-1 * 7 + x * 7) = -1(4x + -5) + -7x + 7 -5x + (-7 + 7x) = -1(4x + -5) + -7x + 7 Reorder the terms: -7 + -5x + 7x = -1(4x + -5) + -7x + 7 Combine like terms: -5x + 7x = 2x -7 + 2x = -1(4x + -5) + -7x + 7 Reorder the terms: -7 + 2x = -1(-5 + 4x) + -7x + 7 -7 + 2x = (-5 * -1 + 4x * -1) + -7x + 7 -7 + 2x = (5 + -4x) + -7x + 7 Reorder the terms: -7 + 2x = 5 + 7 + -4x + -7x Combine like terms: 5 + 7 = 12 -7 + 2x = 12 + -4x + -7x Combine like terms: -4x + -7x = -11x -7 + 2x = 12 + -11x Solving -7 + 2x = 12 + -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. -7 + 2x + 11x = 12 + -11x + 11x Combine like terms: 2x + 11x = 13x -7 + 13x = 12 + -11x + 11x Combine like terms: -11x + 11x = 0 -7 + 13x = 12 + 0 -7 + 13x = 12 Add '7' to each side of the equation. -7 + 7 + 13x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 12 + 7 13x = 12 + 7 Combine like terms: 12 + 7 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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