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Simplifying -1(6x + 4) + -1(7x + -5) = 6 + -1(5x + 1) Reorder the terms: -1(4 + 6x) + -1(7x + -5) = 6 + -1(5x + 1) (4 * -1 + 6x * -1) + -1(7x + -5) = 6 + -1(5x + 1) (-4 + -6x) + -1(7x + -5) = 6 + -1(5x + 1) Reorder the terms: -4 + -6x + -1(-5 + 7x) = 6 + -1(5x + 1) -4 + -6x + (-5 * -1 + 7x * -1) = 6 + -1(5x + 1) -4 + -6x + (5 + -7x) = 6 + -1(5x + 1) Reorder the terms: -4 + 5 + -6x + -7x = 6 + -1(5x + 1) Combine like terms: -4 + 5 = 1 1 + -6x + -7x = 6 + -1(5x + 1) Combine like terms: -6x + -7x = -13x 1 + -13x = 6 + -1(5x + 1) Reorder the terms: 1 + -13x = 6 + -1(1 + 5x) 1 + -13x = 6 + (1 * -1 + 5x * -1) 1 + -13x = 6 + (-1 + -5x) Combine like terms: 6 + -1 = 5 1 + -13x = 5 + -5x Solving 1 + -13x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -13x + 5x = 5 + -5x + 5x Combine like terms: -13x + 5x = -8x 1 + -8x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -8x = 5 + 0 1 + -8x = 5 Add '-1' to each side of the equation. 1 + -1 + -8x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 5 + -1 -8x = 5 + -1 Combine like terms: 5 + -1 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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