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Simplifying -1(5x + 1) + -1(8x + -7) = 7 + -1(4x + 1) Reorder the terms: -1(1 + 5x) + -1(8x + -7) = 7 + -1(4x + 1) (1 * -1 + 5x * -1) + -1(8x + -7) = 7 + -1(4x + 1) (-1 + -5x) + -1(8x + -7) = 7 + -1(4x + 1) Reorder the terms: -1 + -5x + -1(-7 + 8x) = 7 + -1(4x + 1) -1 + -5x + (-7 * -1 + 8x * -1) = 7 + -1(4x + 1) -1 + -5x + (7 + -8x) = 7 + -1(4x + 1) Reorder the terms: -1 + 7 + -5x + -8x = 7 + -1(4x + 1) Combine like terms: -1 + 7 = 6 6 + -5x + -8x = 7 + -1(4x + 1) Combine like terms: -5x + -8x = -13x 6 + -13x = 7 + -1(4x + 1) Reorder the terms: 6 + -13x = 7 + -1(1 + 4x) 6 + -13x = 7 + (1 * -1 + 4x * -1) 6 + -13x = 7 + (-1 + -4x) Combine like terms: 7 + -1 = 6 6 + -13x = 6 + -4x Add '-6' to each side of the equation. 6 + -6 + -13x = 6 + -6 + -4x Combine like terms: 6 + -6 = 0 0 + -13x = 6 + -6 + -4x -13x = 6 + -6 + -4x Combine like terms: 6 + -6 = 0 -13x = 0 + -4x -13x = -4x Solving -13x = -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. -13x + 4x = -4x + 4x Combine like terms: -13x + 4x = -9x -9x = -4x + 4x Combine like terms: -4x + 4x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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