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Simplifying -1(6x + 3) + -1(7x + -6) = 5 + -1(5x + 1) Reorder the terms: -1(3 + 6x) + -1(7x + -6) = 5 + -1(5x + 1) (3 * -1 + 6x * -1) + -1(7x + -6) = 5 + -1(5x + 1) (-3 + -6x) + -1(7x + -6) = 5 + -1(5x + 1) Reorder the terms: -3 + -6x + -1(-6 + 7x) = 5 + -1(5x + 1) -3 + -6x + (-6 * -1 + 7x * -1) = 5 + -1(5x + 1) -3 + -6x + (6 + -7x) = 5 + -1(5x + 1) Reorder the terms: -3 + 6 + -6x + -7x = 5 + -1(5x + 1) Combine like terms: -3 + 6 = 3 3 + -6x + -7x = 5 + -1(5x + 1) Combine like terms: -6x + -7x = -13x 3 + -13x = 5 + -1(5x + 1) Reorder the terms: 3 + -13x = 5 + -1(1 + 5x) 3 + -13x = 5 + (1 * -1 + 5x * -1) 3 + -13x = 5 + (-1 + -5x) Combine like terms: 5 + -1 = 4 3 + -13x = 4 + -5x Solving 3 + -13x = 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 + -13x + 5x = 4 + -5x + 5x Combine like terms: -13x + 5x = -8x 3 + -8x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -8x = 4 + 0 3 + -8x = 4 Add '-3' to each side of the equation. 3 + -3 + -8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 4 + -3 -8x = 4 + -3 Combine like terms: 4 + -3 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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