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Simplifying -1(5x + 4) + -1(7x + -5) = 9 + -1(4x + 1) Reorder the terms: -1(4 + 5x) + -1(7x + -5) = 9 + -1(4x + 1) (4 * -1 + 5x * -1) + -1(7x + -5) = 9 + -1(4x + 1) (-4 + -5x) + -1(7x + -5) = 9 + -1(4x + 1) Reorder the terms: -4 + -5x + -1(-5 + 7x) = 9 + -1(4x + 1) -4 + -5x + (-5 * -1 + 7x * -1) = 9 + -1(4x + 1) -4 + -5x + (5 + -7x) = 9 + -1(4x + 1) Reorder the terms: -4 + 5 + -5x + -7x = 9 + -1(4x + 1) Combine like terms: -4 + 5 = 1 1 + -5x + -7x = 9 + -1(4x + 1) Combine like terms: -5x + -7x = -12x 1 + -12x = 9 + -1(4x + 1) Reorder the terms: 1 + -12x = 9 + -1(1 + 4x) 1 + -12x = 9 + (1 * -1 + 4x * -1) 1 + -12x = 9 + (-1 + -4x) Combine like terms: 9 + -1 = 8 1 + -12x = 8 + -4x Solving 1 + -12x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -12x + 4x = 8 + -4x + 4x Combine like terms: -12x + 4x = -8x 1 + -8x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + -8x = 8 + 0 1 + -8x = 8 Add '-1' to each side of the equation. 1 + -1 + -8x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 8 + -1 -8x = 8 + -1 Combine like terms: 8 + -1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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