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Simplifying -1(5x + 3) + -1(6x + -7) = 8 + -1(3x + 1) Reorder the terms: -1(3 + 5x) + -1(6x + -7) = 8 + -1(3x + 1) (3 * -1 + 5x * -1) + -1(6x + -7) = 8 + -1(3x + 1) (-3 + -5x) + -1(6x + -7) = 8 + -1(3x + 1) Reorder the terms: -3 + -5x + -1(-7 + 6x) = 8 + -1(3x + 1) -3 + -5x + (-7 * -1 + 6x * -1) = 8 + -1(3x + 1) -3 + -5x + (7 + -6x) = 8 + -1(3x + 1) Reorder the terms: -3 + 7 + -5x + -6x = 8 + -1(3x + 1) Combine like terms: -3 + 7 = 4 4 + -5x + -6x = 8 + -1(3x + 1) Combine like terms: -5x + -6x = -11x 4 + -11x = 8 + -1(3x + 1) Reorder the terms: 4 + -11x = 8 + -1(1 + 3x) 4 + -11x = 8 + (1 * -1 + 3x * -1) 4 + -11x = 8 + (-1 + -3x) Combine like terms: 8 + -1 = 7 4 + -11x = 7 + -3x Solving 4 + -11x = 7 + -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. 4 + -11x + 3x = 7 + -3x + 3x Combine like terms: -11x + 3x = -8x 4 + -8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -8x = 7 + 0 4 + -8x = 7 Add '-4' to each side of the equation. 4 + -4 + -8x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 7 + -4 -8x = 7 + -4 Combine like terms: 7 + -4 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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