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Simplifying -1(5x + 4) + -1(8x + -7) = 7 + -1(4x + 1) Reorder the terms: -1(4 + 5x) + -1(8x + -7) = 7 + -1(4x + 1) (4 * -1 + 5x * -1) + -1(8x + -7) = 7 + -1(4x + 1) (-4 + -5x) + -1(8x + -7) = 7 + -1(4x + 1) Reorder the terms: -4 + -5x + -1(-7 + 8x) = 7 + -1(4x + 1) -4 + -5x + (-7 * -1 + 8x * -1) = 7 + -1(4x + 1) -4 + -5x + (7 + -8x) = 7 + -1(4x + 1) Reorder the terms: -4 + 7 + -5x + -8x = 7 + -1(4x + 1) Combine like terms: -4 + 7 = 3 3 + -5x + -8x = 7 + -1(4x + 1) Combine like terms: -5x + -8x = -13x 3 + -13x = 7 + -1(4x + 1) Reorder the terms: 3 + -13x = 7 + -1(1 + 4x) 3 + -13x = 7 + (1 * -1 + 4x * -1) 3 + -13x = 7 + (-1 + -4x) Combine like terms: 7 + -1 = 6 3 + -13x = 6 + -4x Solving 3 + -13x = 6 + -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. 3 + -13x + 4x = 6 + -4x + 4x Combine like terms: -13x + 4x = -9x 3 + -9x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -9x = 6 + 0 3 + -9x = 6 Add '-3' to each side of the equation. 3 + -3 + -9x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 6 + -3 -9x = 6 + -3 Combine like terms: 6 + -3 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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