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Simplifying -1(4x + 5) + -1(5x + -7) = 7 + -1(3x + 1) Reorder the terms: -1(5 + 4x) + -1(5x + -7) = 7 + -1(3x + 1) (5 * -1 + 4x * -1) + -1(5x + -7) = 7 + -1(3x + 1) (-5 + -4x) + -1(5x + -7) = 7 + -1(3x + 1) Reorder the terms: -5 + -4x + -1(-7 + 5x) = 7 + -1(3x + 1) -5 + -4x + (-7 * -1 + 5x * -1) = 7 + -1(3x + 1) -5 + -4x + (7 + -5x) = 7 + -1(3x + 1) Reorder the terms: -5 + 7 + -4x + -5x = 7 + -1(3x + 1) Combine like terms: -5 + 7 = 2 2 + -4x + -5x = 7 + -1(3x + 1) Combine like terms: -4x + -5x = -9x 2 + -9x = 7 + -1(3x + 1) Reorder the terms: 2 + -9x = 7 + -1(1 + 3x) 2 + -9x = 7 + (1 * -1 + 3x * -1) 2 + -9x = 7 + (-1 + -3x) Combine like terms: 7 + -1 = 6 2 + -9x = 6 + -3x Solving 2 + -9x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -9x + 3x = 6 + -3x + 3x Combine like terms: -9x + 3x = -6x 2 + -6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -6x = 6 + 0 2 + -6x = 6 Add '-2' to each side of the equation. 2 + -2 + -6x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 6 + -2 -6x = 6 + -2 Combine like terms: 6 + -2 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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