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Simplifying -1(4x + 5) + -1(7x + -8) = 6 + -1(2x + 1) Reorder the terms: -1(5 + 4x) + -1(7x + -8) = 6 + -1(2x + 1) (5 * -1 + 4x * -1) + -1(7x + -8) = 6 + -1(2x + 1) (-5 + -4x) + -1(7x + -8) = 6 + -1(2x + 1) Reorder the terms: -5 + -4x + -1(-8 + 7x) = 6 + -1(2x + 1) -5 + -4x + (-8 * -1 + 7x * -1) = 6 + -1(2x + 1) -5 + -4x + (8 + -7x) = 6 + -1(2x + 1) Reorder the terms: -5 + 8 + -4x + -7x = 6 + -1(2x + 1) Combine like terms: -5 + 8 = 3 3 + -4x + -7x = 6 + -1(2x + 1) Combine like terms: -4x + -7x = -11x 3 + -11x = 6 + -1(2x + 1) Reorder the terms: 3 + -11x = 6 + -1(1 + 2x) 3 + -11x = 6 + (1 * -1 + 2x * -1) 3 + -11x = 6 + (-1 + -2x) Combine like terms: 6 + -1 = 5 3 + -11x = 5 + -2x Solving 3 + -11x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + -11x + 2x = 5 + -2x + 2x Combine like terms: -11x + 2x = -9x 3 + -9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -9x = 5 + 0 3 + -9x = 5 Add '-3' to each side of the equation. 3 + -3 + -9x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 5 + -3 -9x = 5 + -3 Combine like terms: 5 + -3 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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