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Simplifying -1(6x + 2) + -1(8x + -5) = 5 + -1(5x + 1) Reorder the terms: -1(2 + 6x) + -1(8x + -5) = 5 + -1(5x + 1) (2 * -1 + 6x * -1) + -1(8x + -5) = 5 + -1(5x + 1) (-2 + -6x) + -1(8x + -5) = 5 + -1(5x + 1) Reorder the terms: -2 + -6x + -1(-5 + 8x) = 5 + -1(5x + 1) -2 + -6x + (-5 * -1 + 8x * -1) = 5 + -1(5x + 1) -2 + -6x + (5 + -8x) = 5 + -1(5x + 1) Reorder the terms: -2 + 5 + -6x + -8x = 5 + -1(5x + 1) Combine like terms: -2 + 5 = 3 3 + -6x + -8x = 5 + -1(5x + 1) Combine like terms: -6x + -8x = -14x 3 + -14x = 5 + -1(5x + 1) Reorder the terms: 3 + -14x = 5 + -1(1 + 5x) 3 + -14x = 5 + (1 * -1 + 5x * -1) 3 + -14x = 5 + (-1 + -5x) Combine like terms: 5 + -1 = 4 3 + -14x = 4 + -5x Solving 3 + -14x = 4 + -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. 3 + -14x + 5x = 4 + -5x + 5x Combine like terms: -14x + 5x = -9x 3 + -9x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -9x = 4 + 0 3 + -9x = 4 Add '-3' to each side of the equation. 3 + -3 + -9x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 4 + -3 -9x = 4 + -3 Combine like terms: 4 + -3 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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